Previous Events
Unless otherwise stated, the talks were held at 7pm in MR2 at the Centre for Mathematical Sciences (the CMS), Wilberforce Road.
To view current and upcoming events, please visit the Events page.
Easter 2016
29th April, Solving equations with topology, Dr. Oscar RandallWilliams  Topology is often useful in showing that equations have solutions without necessarily finding out what the solutions are. The first example of this is the intermediate value theorem: a continuous function f: R → R which takes both positive and negative values must take the value 0; the topological input is that R is connected. The second of these is the fundamental theorem of algebra: a polynomial function p: C → C of positive degree must take the value 0; the topological input is the calculation of the fundamental group of the circle.
I will explain these as well as the lesswell known example of solving equations in groups: given a "polynomial" such as w(x)=g_{1} x^{2} g_{2} x^{4} g_{3} x^{3} with g_{1}, g_{2}, g_{3} in a group G and x a formal symbol, is there a bigger group H ≥ G and a h ϵ H such that w(h)=e ϵ H?
 1st May, 6:30pm, Pizza and Board Games Night, Pavillion D Common Room  16th May, Projective Planes and the Magic Square, Professor Michael Atiyah  Few things are more important and more fun than complex numbers and their generalizations: quaternions and octonians. There is a magic about them that has fascinated mathematicians over the centuries. I will tell this story from its origins in the 18th and 19th centuries and bring it right up to to the present time, on the front line of current research.

Lent 2016
29th January, Bayesian inference and the Bernsteinvon Mises theorem, Dr Richard Nickl (Statslab)  Many statisticians believe there is a fundamental division between two 'religious' paradigms, known in scientific folklore as the 'Bayesians' and the 'frequentists'. The former have some 'subjective beliefs' modelled through a prior distribution that then is 'updated' given new observations (via a triviality known as 'Bayes' theorem'). In contrast the frequentists let their inferences be dictated by the empirical evidence of the data alone, and accuse the Bayesian approach of lack of scientific rigour. In this talk I will discuss the history of a beautiful theorem from mathematical statistics that reconciles these two paradigms from a frequentist point of view: The Bernsteinvon Mises phenomenon, which was first discovered by Laplace in a simple case and worked out as a general theorem by mathematicians in the 20th century, states that Bayesian inference based on the posterior distribution is actually 'in most cases frequentist optimal', in a sense I will explain. If time permits I will also touch on some recently discovered mathematical surprises in 'highdimensional' versions of the Bernstein von Mises theorem, as is relevant in statistical methodology used in the recent 'data science hype' involving buzzwords such as 'big data', 'machine learning' and 'Bayesian nonparametrics'.
 5th February, 7:30pm, An Old Problem, Professor Béla Bollobás (DPMMS)  Most mathematical problems are solved a few years after they are posed, but some (not only Fermat's Last Theorem) take over a century to solve. In this talk I shall present a simple solution of a problem posed over a century ago.
 12th February, Universality in probability theory, Professor Martin Hairer (Warwick)  Some objects in probability theory are "universal", i.e. they arise naturally in many different, only loosely related, contexts. We will discuss some of these objects and try to give a glimpse of some of the progress made over the past years towards their understanding.
 19th February, Galois and his groups, Peter Neumann (Oxford)  When Galois invented groups they were very different from the structures taught and learned and loved in undergraduate courses at Cambridge and other modern universities. My purpose in this lecture will be to explain the differences and calibrate the similarities. As a byproduct I hope to show that topics in the History of Mathematics can be just as exciting, subtle and difficult as mathematics itself.
 20th February, 7:00pm, Archimedeans Annual Dinner, Doubletree by Hilton Hotel  25th February, Molecular Dynamics, Random Walks and PDEs, Radek Erban (Oxford)  I will introduce several deterministic and stochastic dynamical systems which have been used for mathematical modelling in biology, describing processes at different spatial and temporal scales. Using simple illustrative examples, I will discuss connections between (detailed) molecular dynamics simulations, (less detailed) Brownian dynamics approaches and (even coarser) models written as partial differential equations. I will use this discussion to highlight some open mathematical problems in the field of mathematical biology. Note: This talk is on a Thursday, rather than a Friday, but will still be at 7pm.
 11th March, Combinatorics and the Fourier Transform, Tom Sanders (Oxford) 
Michaelmas 2016
7th October, High Dimensions, Prof. Imre Leader (DPMMS)  It is hard enough to visualise complicated shapes in three dimensions, or indeed to visualise any shapes in four dimensions. What happens when the number of dimensions is much larger? In this talk, we will investigate some of the phenomena of "high dimensions".
 13th October (Thursday), 8:00pm, Our Universe and Others (Maxwell Lecture), Lord Martin Rees (IoA)  The illustrated talk will describe some recent discoveries about planets (around other stars as well as in our Solar System), black holes, galaxies and the big bang. It will also speculate about whether ‘our’ big bang was the only one.
 20th October (Thursday), 7:00pm, Pub Quiz  Come and see which team has the least bad popular culture knowledge! Not really. Most questions will be in some way mathsrelated, but a couple of rounds will be more in the style of a typical pub quiz question. Good fun and with a mystery prize up for grabs, the pub quiz is an event not to be missed.
 11th November, Number theory and dynamics: a howto guide, Dr. Holly Krieger (DPMMS)  Diophantine problems in number theory are among some of the easiest to state, and the most difficult to prove. However, spectacular progress has been made on some of these problems by translating them to the theory of dynamical systems. I will explain some of these connections, including the Oppenheim conjecture, Littlewood's conjecture, and the arithmetic of elliptic curves.
 18th November, Quantum Simulators with Polariton Graphs, Prof. Natalia Berloff (DAMTP)  Several platforms were recently proposed for addressing problems whose complexity increases faster than polynomially with the number of variables or degrees of freedom in the system. Many of these computationally intractable problems can be mapped into universal classical spin models such as the Ising and the XY models and simulated by a suitable physical system. I will talk about our recent theoretical and experimental effort in using a new hybrid lightmatter particle, excitonpolariton, and polariton graphs as an effient simulator for finding the global minimum of the classical XY Hamiltonian.
 25th November, Mathematical Thinking: Fast and Slow, Prof. Martin Hyland (DPMMS)  It is generally agreed that the aim of a mathematics education should be at least inter alia to develop mathematical thinking. However people have very different ideas as to what mathematical thinking is and what kind of education best encourages it. In 2011, the psychologist Daniel Kahneman published Thinking, Fast and Slow, a book in which he explained for a general audience the main elements of the empirical work on decision making for which he had received the Nobel Memorial Prize in Economic Sciences in 2002. Kahneman's distinction between thinking fast and slow may help us better appreciate the main features of mathematical thinking. I shall give examples of mathematical thinking in elementary mathematics and discuss what  beyond the mathematics  we can learn from them.

Lent 2015
15^{th} January, Singular Eigenvalue Perturbation Theory, Professor Barry Simon (Caltech)

Eigenvalue Perturbation Theory is central to the theory of nonrelativistic quantum mechanics going back to Schrodinger's
first papers. This lecture will review what is known about the eigenvalues in physical situations where one doesn't have
simple convergence to a new isolated eigenvalue. Included are the anharmonic oscillator and Zeeman effect (divergent
series and summability), autoionizing states in atoms (complex scaling and resonances), Stark effect (exponentially small
resonances) and double wells (instantons).

16^{th} January, Pizza and Board Games Night


23^{rd} January, Distances, Sums and Products, Professor Béla Bollobás (DPMMS)

Paul Erdös had an amazing ability to pose problems that are easy to
understand, look innocent, perhaps even trivial, and are not only hard,
but eventually also open up entirely new areas of mathematics.
In this talk I shall present some of Erdös's favourite problems, and
discuss recent developments.

29^{th} January, Nothreeinaline problems, Professor Ben Green (Oxford)

Let S be a set in some vector space. What's the largest subset of S with no three collinear points? This simple question (for various choices of S) has led to some interesting mathematics touching on a diverse range of subjects from combinatorial number theory to algebraic geometry. I will discuss some of these topics from an elementary viewpoint.

5^{th} February, Evolution of Biological Complexity, Professor Raymond Goldstein (DAMPT)

It is a general rule of nature that larger organisms are more complex, as measured by the
number of distinct types of cells present. Yet, increasing size has both costs and benefts, and the
search for understanding the driving forces behind the evolution of multicellularity is becoming a
very active area of research. In this talk, I will discuss
the mathematics and physics underlying this biological problem.

15^{th} February, Problems Drive

Compete in pairs in this lighthearted contest in witty
mathematics and mathematical wit. There will be various
prizes for different achievements and light refreshments
for all those who attend.

26^{th} February, The selfavoiding walk problem, Professor Geoffrey Grimmett (Statslab)

How many nstep selfavoiding walks exist on a given infinite graph? This question is easy to state but notoriously hard to answer. I will describe the history of the problem, and will summarise progress and open questions, one of which may seem quite elementary.

28^{th} February, Annual Dinner, 7pm, Doubletree Hilton Hotel

The Archimedeans cordially invite you to join us for our annual dinner on Saturday 28 ^{th}
February. This will be a three course meal with wine included, preceded by a drinks reception.
We are delighted to announce that we will be joined this year by Professor Béla Bollobás,
who will be our guest speaker at the event.
Details
 Date: Saturday 28^{th} February
 Timings: 7pm, Reception; 7:30pm, Dinner
 Location: Doubletree Hilton Hotel
 Map: here
 Price: £20 for members, £25 for nonmembers
 Payment Deadline: Friday 13^{th} February
 Dress Code: Black tie preferred
If you have any enquiries, please address them to the external secretary , with "Archimedeans Annual Dinner" in the subject line.

5^{th} March, Eating and Racing, Professor Imre Leader (DPMMS)

We'll consider some interesting finite games and some interesting infinite games.

Michaelmas 2014
9^{th} October, Solving Analogy Problems with Letter Sequences, Professor Timothy Gowers

Solving analogy problems with letter sequences, such as
abc is to aabbcc as uvw is to ??
That's an easy problem, but there is a whole hierarchy of more and more interesting examples, and much of the talk would be about how to approach these problems systematically, which is challenging because every time you think you have a system, someone comes up with an analogy problem that has a natural solution that the system doesn't find.

10^{th} October, How impossible is it to reconcile quantum logic with classical logic?, Professor Gerard 't Hooft (Utrecht)

The properties of the tiniest particles of nature (atoms, molecules and subatomic particles), are described by the theory of quantum mechanics. Often, quantum mechanics is said to require a reconsideration of our rules of logic, as if "quantum logic" were something else. A theorem by particle physicist John Bell is then used to "prove" that no local, classical, deterministic theory can exist to explain quantum behaviour. However, there is reason to doubt whether that is true. Lecturer will demonstrate that systems exist that are classical and quantum mechanical at the same time. Our world of elementary particles, described by the "Standard Model", could be such a system, but how could it disobey Bell's theorem?

16^{th} October, Endowed with an Extra Sense: Mathematics and Evolution, Professor Todd Parsons (France)

Charles Darwin famously remarked "I have deeply regretted that I did not proceed far enough at least to understand something of the great leading principles of mathematics; for men thus endowed seem to have an extra sense." Despite this, the importance of mathematics (and contributions from mathematicians and statisticians from Cambridge in particular) for the development of the modern theory of evolution is largely underappreciated. In this talk, I will survey the essential contributions mathematics has made to the development of the modern evolutionary synthesis, from the seminal work of J. B. S. Haldane, R. A. Fisher, and Sewall Wright, to John Kingman's coalescent, to the present.

23^{rd} October, Pub Quiz

N.A.

30^{th} October, Knots and surfaces, Professor Ivan Smith

A knot is an embedding of a circle into threedimensional space. The study of knots, and of the surfaces that they bound, has surprising connections to three and fourdimensional topology, to numerous parts of algebra, and even to theoretical physics. The talk will give a brief introduction first to knots themselves, and then to some of these wider connections.

6^{th} November, What mathematics tell us about the nature of life ... more than 3,800,000,000 years ago!, Professor Nigel Goldenfeld (UIUC)

Relics of early life, preceding even the last universal common ancestor of all life on Earth, are present in the structure of the modern day canonical genetic code  the map between DNA sequence and amino acids that form proteins. The code is not random, as often assumed, but instead is now known to have certain error minimisation properties. How could such a code evolve, when it would seem that mutations to the code itself would cause the wrong proteins to be translated, thus killing the organism? I address this paradox, originally due to Francis Crick, and show how dynamical systems theory leads to powerful insights about the nature of very early life that are beginning to be experimentally tested.

13^{rd} November, How to solve a problem by making it harder., Dr. Vicky Neale

Surprisingly, sometimes the way to make progress on a mathematical problem is to tackle a harder problem instead. I'll describe an example of such a problem from number theory.

20^{th} November, The Geometry of Speech, Professor John Aston

Comparative linguistics, which aims to understand the relatedness of languages, has traditionally been a qualitative discipline examining written records. In this talk, we'll attempt to persuade you that maybe a mixture of functional analysis, nonparametric statistics and nonEuclidean geometry, with the odd acoustic signal thrown in, might be another way to go.

27^{th} November, Scope of String Theory , Professor Michael Green

According to string theory the different subatomic constituents of matter  the electron,
the quarks and other elementary particles  are to be thought of as different modes of vibration
of an extremely small string. This simple postulate not only has the potential to unify the
fundamental particles, but leads naturally to a consistent description of the physical forces.
In recent times the mathematical structure of string theory has led to suggestions of how it
might be applied to problems in areas of physics far removed from the ones it was originally intended
for and that cannot be addressed by more conventional techniques. This talk will explain the
background to the questions that string theory aims to address and give a nontechnical description
of properties of the theory.

4^{th} December, The Mystery of Spinors, Professor Michael Atiyah

Spinors play a fundamental role in physics and in several areas of mathematics. I will survey
their history and their applications and I will delve into their deeper meaning.
I will avoid technicalities.

Easter 2014
16^{th} June, Science Societies' Garden Party, Pembroke

We are delighted to invite you for the longawaited, eagerlyanticipated, highlycontemplated 2014 Science Societies' Garden Party!
It promises to be a fantastic afternoon, with plenty of food, drink and, who knows, perhaps even a few surprises...
The participating societies are:
 Cambridge University Scientific Society (SciSoc)
 Cambridge University Physics Society (CUPS)
 Cambridge University Mathematical Society (Archimedeans)
 Cambridge University Astronomical Society (CUAS)
 Cambridge University Computing and Technology Society (CUCaTS)
 Cambridge University Biological Society (BioSoc)
The Garden Party shall take place on Monday the 16 ^{th} of June at Library Lawn, Pembroke College between 13:00 and 16:00.
Prices:
£5  members online booking
£7  nonmembers online booking
For a map, click here.
Facebook event link.

11^{th} June, Punting trip

To celebrate the end of exams, the Archimedeans will be holding a punting excursion free of charge for members.
The event will take place at 11am Wednesday 11^{th} June at Trinity College Punts.
Refreshments will be provided but you are of course welcome to bring your own.

2^{nd} May, Board Games and Pizza Night

Come along to the CMS this Friday, 6.308.30pm, for a Board Games and Pizza Night!
We'll be in the Pav D common room with pizza, snacks, alcoholic/nonalcohol drinks
and, of course, board games. Feel free to bring your own drinks and board games 
especially board games! We need lots of board games. We'll be ordering pizza at
6.45pm so you should turn up before then if you're intending to eat pizza.
Please bring £2 if you're a member or £3 if you're not.
(A note on getting into the building: the doors should be open until 7.10pm,
but if you arrive later someone will hopefully see you standing outside and
let you in.)

Lent 2014
17^{th} January, Number theory from Gauss to Langlands, Prof Tony Scholl (DPMMS)

Abstract: On 18^{th} April 1796, Gauss discovered his first proof of the famous law of
quadratic reciprocity. I will describe some of the background to this
striking theorem, and explain how it has led to the development of a
huge area of mathematics, culminating in the "Langlands programme", a
web of conjectures, mostly awaiting proof, linking aspects of number
theory, geometry, representation theory and analysis.

24^{th} January, The mathematics of aircraft noise and owls, Prof Nigel Peake (DAMTP)

Abstract: Noise generation by aircraft (and onshore wind farms) is a big
environmental issue. In nature, however, the owl has already solved
the problem of silent flight. In this talk I will discuss some of the
mathematics and physics of sound generation, and describe what we
might learn from our feathered friends.

31^{st} January, From images, corruption and resolution: a mathematical approach, Dr Carola Schoenlieb (DAMTP)

Abstract: Restoring the original image contents from distorted
measurements is one of the most important tasks in image processing.
It comprises the enhancement and reconstruction of images distorted by
noise or blur (image denoising/deblurring), the fillingin of gaps in
images (image inpainting) and the reconstruction of an image from
noisy (and possible undersampled) Fourier/Radon measurements.
In this presentation we will discuss techniques from inverse problems,
variational calculus and partial differential equations for the
solution of some of these tasks. After spending some time on
introducing the concept of such methods, some of their analytical and
numerical challenges, we will get to know some recent advances in the
field as well as challenges and open problems. All the mathematics you
will see will be furnished with images from applications for image
restoration, surface interpolation and MRI.

3^{rd} February, Randomness and continuum, Prof Wendelin Werner (ETH Zurich)

Abstract: One can have a rather intuitive perception of the fact
that space and time can be continuous, which is very directly related
to the mathematical notion of continuity of functions. On the other
hand, when one thinks of random phenomena, the natural examples that
first come to mind are of discrete nature, such as coin tossing.
The conceptual question on how "randomness" can be split up into and
reassembled from infinitesimal little pieces turns out to be quite
tricky. It is related to contemporary research in mathematics that we
shall illustrate via some concrete examples.

7^{th} February, Supersymmetry at the Large Hadron Collider, Prof Ben Allanach (DAMTP)

Abstract: I shall describe the dark matter mystery, and we shall go on a
speculative journey to solve it. Going back to the beginning of time, we
shall witness the birth of a proton, following it through to the present
day, where it ends up in the Large Hadron Collider at CERN. We shall
revisit the Higgs boson discovery from last year. Finally, we shall see
show how the collisions between protons at CERN might give us vital
clues to solve the dark matter mystery.

22^{nd} February, Annual Dinner, 7pm, Doubletree Hilton Hotel

The Archimedeans would like to invite you to join us for our annual dinner
on Saturday 22^{nd} February. With a drinks reception and a 3 course meal
complete with wine, it's sure to be an excellent evening.
Date: Saturday 22 ^{nd} February
Timings: 7pm, Reception; 7:30pm, Dinner
Location: Doubletree Hilton Hotel
Map: http://tinyurl.com/btj8umc
Booking Link: link removed
Price: £15 for members, £20 for nonmembers
Booking and Payment Deadline: Thursday 6 ^{th} February
Dress Code: Black tie preferred
We're pleased to announce that this year we will be joined by Dr. Vicky
Neale (DPMMS), who will be our guest speaker at the event. You'll also
have the chance to invite your favourite lecturer or supervisor to dine
with us. We have set aside 15 places for such honorary guests, so
please think carefully and use your invitation wisely.
Payment details will be emailed to you automatically once you've submitted
the form. Make sure you remember the payment deadline of Thursday 6^{th} February.

7^{th} March, Taylor's Theorem, Wrong On So Many Levels, Prof Tom Körner (DPMMS)

Abstract: Of course, Taylor's theorem is
both right (when correctly stated) and important.
However, I shall try to convince you that
it is a great deal more subtle than is
generally believed.

Michaelmas 2013
14^{th} October, Mathematics and the Simpsons, Dr. Simon Singh, 
8pm, BristolMyers Squibb Lecture Theatre, Department of Chemistry
Abstract: Simon Singh, author of Fermat's Last Theorem and Big Bang,
talks about his latest book, which explores mathematical
themes hidden in The Simpsons. Everyone knows that The Simpsons
is the most successful show in television history, but very few
people realise that its team of mathematically gifted writers
have used the show to explore everything from calculus to geometry,
from pi to game theory, and from infinitesimals to infinity. Singh
will also discuss how writers of Futurama have similarly made it
their missions to smuggle deep mathematical ideas into the series.

15^{th} October, Geometry Through the Eyes of Physics, Prof. David Tong (DAMTP)

121pm, Cockroft Lecture Theatre, New Museums Site
Abstract: Professor Tong will explain how ideas from quantum physics and string theory
have resulted in new ways of thinking about the mathematics of geometry
and topology.

15^{th} October, Freshers' Squash, 12pm, Small Examination Hall, New Museums Site

Meet new people, grab some free pizza, and of course, join the Archimedeans!

18^{th} October, Solving Diophantine equations using invariant theory, Dr. Tom Fisher (DPMMS)

Abstract: Classical invariant theory was something of an industry in
the 19^{th} century, first helping to create, and then being eclipsed by,
modern abstract algebra. More recently the development of computer
algebra has renewed interest in the classical explicit methods. I will
explain how invariant theory can be used to help solve some problems
in number theory.

25^{th} October, How to Find (and Keep) a Wife, Dr. Paul Russell (DPMMS)

Abstract: We consider applications of graph theory and combinatorics to the above
problem. Hall's Marriage Theorem tells us when it is possible to marry
off a group of men to a group of women in such a way that all are
satisfied. But does there exist an algorithm to arrange the marriages in such a
way that there will be no subsequent divorces? Yes, and it has been used in real
life, but for the alternative purpose of assigning junior doctors to hospital places.
If time permits, the talk will move on to generalizations of the above to civil
partnerships. For anyone who finds the content of this talk of no interest whatsoever,
please note that there is an isomorphic talk entitled "How to Find (and Keep)
a Husband".

1^{st} November, The Flying Trapezium Rule Prof. Nick Trefethen (Oxford)

Abstract: The trapezoidal or trapezium rule for calculating
integrals is sometimes spectacularly accurate,
for example if the integrand is smooth and periodic.
The mathematics of this effect is beautiful (the most
powerful proof involves a complex contour integral),
and the history is colourful (Poisson, Turing,...).
The superaccuracy of the trapezoidal rule is the
basis of the most powerful algorithms known today for
certain problems of computational science. And is it
related mathematically to the Faraday cage effect,
where a wire mesh shields one almost perfectly from
electromagnetic fields?

8^{th} November, Hunter, Cauchy Rabbit and Optimal Kakeya Sets Dr. Perla Sousi (Statslab)

Abstract: A planar set that contains a unit segment in every direction
is called a Kakeya set. These sets have been studied intensively
in geometric measure theory and harmonic analysis since the work
of Besicovich (1928); we find a new connection to game theory
and probability. A hunter and a rabbit move on the integer
points in [0,n) without seeing each other. At each step, the
hunter moves to a neighbouring vertex or stays in place, while
the rabbit is free to jump to any node. Thus they are engaged
in a zero sum game, where the payoff is the capture time. The
known optimal randomized strategies for hunter and rabbit
achieve expected capture time of order n log n. We show that
every rabbit strategy yields a Kakeya set; the optimal rabbit
strategy is based on a discretized Cauchy random walk, and it
yields a Kakeya set K consisting of 4n triangles, that has
minimal area among such sets (the area of K is of order 1/log(n)).
Passing to the scaling limit yields a simple construction of a
random Kakeya set with zero area from two Brownian motions.
(Joint work with Y. Babichenko, Y. Peres, R. Peretz and P. Winkler).

15^{th} November, Board Games and Pizza Night CMS 6.308.30pm

Come along to the CMS this Friday, 6.308.30pm, for a Board Games and Pizza Night!
We'll be in the Pav D common room with pizza, snacks, alcoholic/nonalcohol drinks
and, of course, board games. Feel free to bring your own drinks and board games 
especially board games! We need lots of board games. We'll be ordering pizza at
6.45pm so you should turn up before then if you're intending to eat pizza.
Please bring £2 if you're a member or £3 if you're not.
(A note on getting into the building: the doors should be open until 7.10pm,
but if you arrive later someone will hopefully see you standing outside and
let you in.)

22^{nd} November, Card shuffling and phase transitions, Dr. Nathanael Berestycki (Statslab)

Abstract: Suppose you are given a deck with 52 cards. It is intuitive that if
you shuffle it sufficiently many times, the order of the cards will
be random uniform. But how many times is enough? It turns out that
this apparently naive question reveals a deep and striking phenomenon:
the deck of card experiences a transition between a phase where it is
"far from random" and one where it is "very close to random". This is
in fact very general and is analogous to the transition between the
solid and liquid phases of water when the temperature passes 0C. The
mathematics needed to describe this phenomenon will take us into a
surprisingly large number of subjects, including probability,
combinatorics, analysis, and representation theory.

29^{th} November, Synchronization of Cilia, Prof. Raymond Goldstein (DAMTP)

CANCELLED
Abstract: From unicellular green algae to the lining of our
respiratory systems are found hairlike appendages, known as cilia,
whose coordinated beating results in transport of fluid essential for
life. For decades there has been speculation about the origins of the
synchronization seen in nature, but it is only recently that theory
and experiments (mostly carried out here in DAMTP) have combined to
provide quantitative analysis of this problem. This talk will
describe the fascinating stochastic nonlinear dynamics underlying the
synchronization problem.

Easter 2013
14^{th} June, Science Societies' Garden Party, Library Lawn of Pembroke College. 
We are delighted to invite you for the longawaited,
eagerlyanticipated, highlycontemplated 2013 Science
Societies' Garden Party! It promises to be a splendid
afternoon, with plenty of food, drink and, who knows,
perhaps even a few surprises...
The participating societies are:
 Cambridge University Scientific Society (SciSoc)
 Cambridge University Physics Society (CUPS)
 Cambridge University Astronomical Society (CUAS)
 Cambridge University Mathematical Society (Archimedeans)
The Garden Party shall take place on the Library Lawn of Pembroke College on Friday 14^{th} June, between 1:30 pm and 4:30 pm.
Prices:
£5  members online booking
£7  members onthedoor
£7  nonmembers online booking
£9  nonmembers onthedoor
Tickets can be bought online here (link removed).
Book now to avoid disappointment! If all the tickets are sold beforehand there'll be none left for the door...
For a map, click here.
Facebook event link.

Lent 2013
27^{th} January, Undergraduate Symposium, 10am–6pm, MR2

Full schedule of talks
The first ever undergraduate symposium of the Archimedeans will give students
the chance to give talks to the society on their mathematical interests.

1^{st} February, The Theorem of Archimedes, Prof. Sir Michael Atiyah
(Edinburgh)

Archimedes was very proud of his Theorem relating the surface area of
a sphere to the area of a cylinder. He asked for this to be inscribed
on his tombstone. Prof. Atiyah will show that his pride was justified
and that his theorem has had a major impact on the mathematics of
recent times, with surprising connections to such things as the
isoperimetric inequality and the Hodge signature theorem.

9^{th} February, Annual Dinner, 6.30pm, Doubletree by Hilton

Please join us for our annual celebration of Mathematics at Cambridge.
As usual, a reception and 3course meal in sumptuous surroundings will
be the backdrop for our social event of the year. We are lucky to be
joined at the dinner by Prof. Imre Leader, who is the Senior Treasurer
of the Archimedeans and will be our Guest Speaker for the night. In
addition, this year we are giving you to opportunity to invite your
favourite lecturers and supervisors to join us at the dinner. Book now
before places run out!
Map: http://tinyurl.com/btj8umc
Price: £15 for members, £20 for nonmembers
Booking link: link removed
Booking and payment deadline: Thursday 24 ^{th} January
Dress Code: Black tie preferred

15^{th} February, Conformal Geometry, its Beauty and Power in Physics and
Cosmology, Prof. Sir Roger Penrose (Oxford)

The ancient geometry of Euclid and its curvedspace generalizations
due to Gauss and Riemann are built upon a notion of (infinitesimal)
distance. Somewhat less attention has been paid to the slightly more
general geometry based simply upon the local notion of angle, referred
to as conformal geometry. It involves many elegant theorems, and has
direct applications to Einstein's special relativity and to Maxwell's
electromagnetic theory. It is also central to a new view of the
cosmological universe.

22^{nd} February, Elliptic Curves, Prof. Kevin Buzzard (Imperial)

Elliptic Curves can be thought of topologically as a torus, or
algebraically as the solutions to a cubic equation in two variables.
They have applications across mathematics, but as a number theorist
Prof. Buzzard will stress the more arithmetic applications they've had
in recent times, for example to the congruent number problem and
Fermat's Last Theorem. He will also say something about the
BirchSwinnertonDyer conjecture, one of the most important unsolved
problems in number theory.
(Rescheduled from 18^{th} Jan)

1^{st} March, How to solve a linear equation?, Prof. Arieh Iserles (DAMTP)

Our starting point is the familiar linear ODE system y' = A(t) y. How
to expand the solution in a clever way? This innocent question will
take us on a romp through graph theory, Lie algebras, group theory,
numerical analysis and differential geometry.

3^{rd} March, Problems Drive, 4pm6pm, CMS Core

Compete in pairs in this lighthearted contest in witty
mathematics and mathematical wit. There will be various
prizes for different achievements and light refreshments
for all those who attend.

8^{th} March, Secrets of Mental Maths, Dr. Arthur Benjamin (Harvey Mudd College)

Dr. Benjamin is a mathematician and a magician. In his entertaining
and fastpaced performance, he will demonstrate and explain how to
mentally multiply numbers faster than a calculator, how to figure out
the day of the week of any date in history, and other amazing feats of
mind. He has presented his mixture of maths and magic to audiences all
over the world. Arthur Benjamin is a professor of mathematics at
Harvey Mudd College in Claremont, California. His TED talk as a
mathemagician has been viewed over 5 million times. Reader's Digest
calls him America's Best Math Whiz.

13^{th} March, Annual General Meeting, 7pm, Winstanley Lecture Theatre, Trinity College

Join us for a review of the past year, and to elect a new
committee for the forthcoming year.

Michaelmas 2012
9^{th} October, 12pm, Complex Sums in the Mathematical Tripos, Dr Stephen Cowley (DAMTP)

Location: Cockcroft Lecture Theatre, New Museums Site, 12pm
Join us for our first talk of term  the Freshers' Talk. Complex numbers
appear throughout mathematics. Learn what they are all about, and how to
study complex sums.

9^{th} October, 1pm, Freshers' Squash, Small Examinations Hall, New Museums Site

Meet new people, grab some free pizza, and of course, join the
Archimedeans!

15^{th} October, 1pm–5pm, Book Sale, CMS Core

Come along to buy maths books at highly reduced prices, and have some
squash and biscuits.

19^{th} October, Did Galois deserve to be shot?, Dr Peter Neumann OBE (Oxford)

Évariste Galois died aged 20 in 1832, shot in a mysterious
earlymorning duel. His ideas, after they were published fourteen
years later, changed the direction of algebra and have had a huge
influence on mathematics. In this talk we propose to explain something
of his mathematical insights and legacy in nontechnical terms, and
why it seemed worthwhile to produce a meticulous bilingual edition of
his writings.

26^{th} October, Can you guess the next bit?, Prof. Andrew Thomason (DPMMS)

If you are given a string of numbers (say, binary digits), can you
work out the next one in the sequence? If you are the Minister of
Education in search of bracing exam questions you will say yes,
otherwise you will say no. Nevertheless, there are times when a
sequence looks random but it is possible to say what comes next. We
shall mention some reallife applications but by and large the talk is
about simple, though sometimes unexplained, properties of numbers.

2^{nd} November, 6:30pm, ‘Pub’ Quiz, CMS Central Core

What better way to spend your Friday evening than to join us for a
mathsthemed pub quiz? Join up in teams and win prizes – a night
of fun is a.s. guaranteed!
Quotes on account of how quiz is not held in a pub.

9^{th} November, Cambridge Impronauts

Will it be a continuous night of laughter? Will the humour have no upper
bound? Will there be any maths references at all? Only the Impronauts
(formerly Improvised Comedy Ents) have the answer!

16^{th} November, Bootstrap Percolation: Frivolous Questions and Daunting Problems, Prof. Béla Bollobás (DPMMS)

Bootstrap percolation, introduced by Chalupa, Leath and Reich in 1979,
is one of the simplest cellular automata. In the talk we shall present
a selection of problems and results concerning it, from coffeetime
questions to major results and unsolved problems.

23^{rd} November, Do you know how much you know?, Prof. David Spiegelhalter OBE (Stats Lab)

Your uncertainty can be quantified as a probability, but how can we tell
whose probabilities are best? We will look at some theory of scoring
rules for probabilistic predictions, and their applications in weather
forecasting and other areas. And then we will measure your knowledge
about your ignorance.

28^{th} November, Scientific Christmas Party 2012, All Bar One, St. Andrews Street

We're ending the Michaelmas term in style, with a Scientific
Christmas Party coorganised by The Archimedeans, CUPS and SciSoc!
The party will consist of a dinner buffet in All Bar One and is open
only to members of any of the hosting societies  i.e. if you're not yet
a member, but would like to attend the party, you need to become a
member prior to your booking.
Tickets are £13 drinking, £10 nondrinking. Book at http://tinyurl.com/xmaspartyregistration, and pay via one of the following methods:
1. Cheque  Payable to 'The Archimedeans', send it to Colin Egan, Gonville and Caius College, with your name, CRSid/email and 'Scientific Christmas Party' on the back
2. Bank Transfer  Account Name: The Archimedeans; Sort Code: 401608; Account Number: 20116386; please write your name and CRSid in the reference
3. Cash  pay an Archimedeans Committee member directly.

Easter 2012
15^{th} June, 1pm, Science and Engineering Garden Party, Pembroke College Library Lawn. 
The Archimedeans are proud to cohost the Science and Engineering
Garden Party, to be held on Friday 15^{th} June from
1pm–4pm on Pembroke College Library
Lawn. Benefits include:
 Food, including cheese.
 Pimms, as is traditional.
 Live music: The Funk Nuggets. They are a band.
Pembroke has a map of their
grounds; the Library Lawn is the lawn in front of the library. If
you're still confused, the nice people at the Physics Society Wiki have rather
more detailed instructions.

Lent 2012
27^{th} January, Spin and Division Algebras, Dr Jonathan Evans (DAMTP)

The concept of a division algebra generalizes the real and complex numbers
by requiring a multiplication with suitable properties to be defined on a normed vector
space. There are actually just two new possibilities in higher dimensions,
known as the quaternions (dimension 4) and octonions (dimension 8). Spin, on the other hand,
refers to a particular way of realizing rotational transformations in 3 or
higher dimensions. The distinctive mathematical properties which emerge are also of great
importance in physics, since the description of many elementary particles
(quarks, electrons, neutrinos) relies on spin representations. There are some
fascinating interrelationships between spin and division algebras, leading
ultimately to concepts such as triality, supersymmetry and exceptional Lie
groups. My aim in this talk will be to give an overview of some of these ideas.

4^{th} February, 7pm, Annual Dinner, Crowne Plaza Hotel

Dine in style with a champagne reception followed by an exquisite three course meal (wine included),
in recognition of another year of The Archimedeans' success.
The dinner will be held at the Crowne Plaza Hotel on Saturday 4 ^{th} February at 7pm.
Tickets sold out in a week last year, so book now to avoid disappointment  especially if you
have any dietary requirements. The (heavily subsidised) prices are £15 for members and £20 for nonmembers.
Places are limited, so please email Dana (
archimeventsmanager@srcf.ucam.org) to reserve yours. As seating is prearranged, please include
the names of the people with whom you would like to sit.
IMPORTANT: Please reserve your place by midday 28 ^{th} January.
To confirm your reservation, please pay by 2 ^{nd} February  otherwise your reservation
will be cancelled. Please send the payment, by cash or cheque (payable to "The Archimedeans"), to
Lovkush Agarwal, Corpus Christi College, or you can pass it to any of the committee members in person.
Alternatively, make an online transfer (make sure you include your name/crsID so we know who
the payment is from!): Account Name: The Archimedeans Account Number: 20116386 SortCode: 401608

10^{th} February, Gödel's Incompleteness Theorem, Dr Thomas Forster (DPMMS)

Look  no hands! In this Turing Centenary year... you can now go to a logic talk that doesn't mention Turing machines!!
Watch while famous logical trickster Dr Thomas Forster proves the Incompleteness Theorem before your very eyes!
No but seriously. The Incompleteness theorem is surely one of the most important discoveries in mathematics since the Greeks.
And  equally surely  there has been more nonsense talked about it than any other result in the whole of
mathematics. Your host this evening will prove the theorem calmly and soberly and try to cut through some of the nonsense.

15^{th} February, 1.00pm to 2.00pm, Inside a Quant Hedge Fund; Research at Winton, Dr Mark Roulston

Winton is a scientific investment management firm specialising in
applying advanced statistical techniques to the analysis of financial
markets. We have a large research department made up of highly
creative applied scientists with strong statistical knowledge and
experience analysing large real world data sets. We are particularly
interested in PhD students and postdoc researchers with backgrounds in
areas such as computer science, machine learning, pattern recognition,
signal processing and related data analysis areas.
Where: The Cormack Room, University Centre, Cambridge.
When: Wednesday 15 Feb 2012, 1.00pm to 2.00pm
RSVP by Friday 10 Feb 2012
To reserve a place at the
presentation please email
recruitment@WintonCapital.com
The talk will include a Q&A session
and a sandwich lunch

24^{th} February, Stein's Paradox, Dr Richard Samworth (DPMMS) 
Stein's paradox is one of the most surprising results in Statistics. Suppose X_{1},...,X_{p}
are independent random variables, with X_{i} ~ N(θ_{i},1). If we want to estimate
θ = (θ_{1},...,θ_{p}), the most obvious choice is to use X =
(X_{1},...,X_{p}). It turns out that, provided p>2, we can find a better estimator, in a
very natural sense that I will make precise.
As well as giving the (fairly straightforward) proof, I will discuss geometric intuition and other explanations
for this result, and discuss extensions. I will also show how the improved estimator can be used to give good
predictions of baseball batting averages.

2^{nd} March,
Quantum Computing, Entanglement and Other Surprises,
Prof Richard Jozsa (DAMTP)

Since the 1980s it has become evident that quantum mechanics has
momentous implications for many aspects of information processing,
communication and security. A new field of research  known as quantum
computation and quantum information theory  has emerged, representing
a remarkable synthesis of ideas from theoretical computer science
(computational complexity theory), Shannon's information theory and quantum physics.
Quantum computation (intuitively, the use of elementary quantum processes
as computational steps in place of Boolean operations) is now known to be
able to provide exponentially faster algorithms for some computational tasks,
than any known 'conventional' (classical) algorithm. This exponentially
enhanced computing power may be traced to strange nonclassical properties
of quantum systems, in particular the phenomenon of entanglement. Entanglement
can also be exploited to provide novel possibilities for communication such
as the protocol known as quantum teleportation.
In this talk we will aim to explain the essentials of the fascinating
connection between quantum mechanics and the theory of information
processing, and discuss a few simple, yet strikingly surprising examples.
Prior knowledge of the elements of quantum mechanics will not be assumed,
although it would probably not be a disadvantage.
The slides from the talk are available here.

4^{th} March 1:30pm, Archimedeans Problems Drive, central cafeteria in the CMS

Compete in pairs in this lighthearted contest in witty mathematics and
mathematical wit. There'll be various prizes for different achievements,
and of course, light refreshments for all those who attend.
There is a limit on the number of pairs that can compete, so please reserve
your pair's place by emailing the Events Manager. If you
don't have a partner, you can email us anyway and we'll try to find you
one.

12^{th} March, 7pm, Annual General Meeting

Location: I4 in Corpus Christi College (ask porters if you don't know where it is)
Be at the AGM where there will be an annual review, a chance for you to
raise any questions and the election of the new committee!
This is your opportunity not only to continue the success of the
Archimedeans, but to make the Society even better. It's an experience we
highly recommend: it's enjoyable, you will learn a lot during your time on
the committee, develop old and new skills and, not to mention, meet new
people!
An outline of the different roles in the society can be seen
here.
If you're unsure which position to run for, we are keen to hear from
anybody who is interested and will come up with a solution which works for
you.
Please submit your nomination by emailing (with subject "Archimedeans
Nomination") the following information to the President:
Name:
College:
Position:
Name of Proposer:
Name of Seconder:
Please note that the Proposer and Seconder must also be current members of
The Archimedeans.

Michaelmas 2011
Tue 4^{th}  Wed 5^{th} Oct., Freshers' Fair, G1 main hall

Location: Stall G1, Main Hall, Kelsey Kerridge Sports Hall, Queen Anne Terrace, Cambridge CB1 1NA
Time: 10am to 6:30pm Tue 4^{th} Oct and 10am to 3pm Wed 5^{th} Oct

Wed 12^{th} Oct 12am, Freshers' Squash, St Columba's Hall, Downing Place

Meet new people, grab a free lunch, and of course, membership at reduced prices.

Fri 14^{th} Oct, The National Curriculum Wars, Professor Martin Hyland (DPMMS)

The UK is in the midst of a reform of the National Curriculum. Creating a Curriculum is hard work
and the process creates high emotion: anxiety, anger and righteous indignation. I shall say a very
little about that and shall use it as a starting point for the question what every mathematician
coming to Cambridge ought to know. I shall propose a way to think about that in terms of what I
regard as a special category of emblematic problems. I shall give examples from my own experience
and reading but the main aim of the talk is to solicit further examples from the Cambridge mathematics
community.

Fri 21^{st} Oct, ICE, Professor M. Grae Worster (DAMTP)

Ice is one of the most powerful agents for environmental change on
Earth. We are most aware of that in this country when we drive over potholes after a harsh winter.
The same forces weather rocks, bring stones to the surface of fields and create landforms, particularly
in regions of permafrost. The ice in arctic regions keeps our planet temperate both by storing heat
between seasons and by reflecting sunlight. As the oceans freeze, dense brine is generated that drives
largescale circulations, of which the Gulf Stream forms a part.
My talk will range over these phenomena, illustrating several of them with experiments, and introduce the
ways in which mathematics can be used to make predictions.

Sat 22^{nd} Oct, 7pm, LCP informal employer presentation evening, Ramsden Room, St Catherine's College

LCP is one of the UK's leading actuarial partnerships. We are looking to recruit up to 18 highly numerate individuals
to train as actuarial consultants within our pensions, general insurance, investment and business analytics consultancies.
Come and meet us for drinks and you will be able to experience why we have a reputation of being an exceptionally
friendly and professional firm. You will also learn about work, the extensive training programme and what is it
like to study for actuarial exams
We will also be attending the Cambridge Careers for Mathematicians Event on 2^{nd} November.

Sat, 29^{th} Oct, 79pm Board games evening!

When: 7pm  9pm
Where: CMS Central Core
Interested in a night of fun, food, and an opportunity to meet other mathmos? Come along to our games evening!
Board and card games (including but not limited to: Set, Cluedo, Blokus and Balderdash) will be provided, but
please do bring along your personal favourites. Snacks and drinks will also be supplied. Feel free to drop in
for just a game or two, or better yet, come for the entire two hours!
Free for members, £2 entry for nonmembers.

Mon 7^{th} Nov, 69:30pm, Jane Street Career Presentation Evening,

Our staff will be on hand to speak to students and answer and questions they may have.

Fri 11^{th} Nov, 7pm, The Fundamental Theorem of Comedy, ICE  Improvised Comedy Ents

Will it be a continuous night of laughter? Will the humour have no upper bound? Will there be any maths
references at all? Only ICE has the answer!
Location: MR2 in the Centre for Mathematical Sciences (CMS)

Tue 15^{th} Nov, Gloucester Research, Cormack Room, University Centre

We are holding an evening presentation for
Mathematics students in Cormack Room, University Centre, time TBA.

Fri 18^{th} Nov, Addictive Number Theory, Dr Vicky Neale (DPMMS)

Apparently simple questions about adding whole numbers have led to some beautiful mathematics, involving
ideas that at first sight seem to have nothing to do with the integers. In this talk, we'll get a flavour
of this area, and we'll see how two great Cambridge mathematicians from the last century played a key role.
We'll also see an application of the important fact that 1 is the smallest positive integer.

Fri 25^{th} Nov, Games of Pursuit and Evasion, Professor Imre Leader (DPMMS)

A scorpion wants to catch a beetle, a porter wants to catch a student, and a lion wants to catch a man.
The beetle, student and man do not want to be caught. What tactics should they adopt?

Easter 2011
13^{th} June, Free Punting

To bridge the time between exams and May Week, why not go punting while
others are still sitting in the library? Meet at 10:45am, 13 ^{th} June, at The Avenue
(Trinity backs).
The best thing about it? It's free for members! Refreshments will be provided. Places are limited,
so please get in touch with the events manager ( email) to reserve a place.

21^{st} June, Science Societies' Garden Party, 14:00  17:00

Another year, another round of lectures, work, and exams. But with the end
just over the horizon, we are excited to be able to offer the perfect
antidote by inviting you all to the annual Science Societies' Garden Party!
Come and relax with us in the sun* with a cool glass of Pimms and lots of
delicious food. There will also be a Band and and nonalcoholic drinks for
those already feeling pickled by May Week.
Here are the details:
Venue: Springfield Gardens, Harvey Court (Gonville and Caius College) 
Along West Road from Queen's Backs. Click
here
for a map.
Time: 14:00  17:00, Tuesday 21st June
Price £3 / £5 Members/Non Members**  Pay on the door
Hosted by: The Archimedeans, BioSoc, CUPS and SciSoc
We look forward to seeing many of you there! Spaces at the Garden Party are
unfortunately limited by capacity so make sure to arrive promptly to ensure
a place.
*Sun not guaranteed
** Members of The Archimedeans, BioSoc, CUPS or SciSoc

Lent 2011
21^{st} Jan, Diophantine Equations, Professor Samir Siksek (Warwick)

In his unique and appealing style, Prof. Siksek will shed light on the following questions:
(i) Given a Diophantine equation, what information can be obtained
by following the strategy of Wiles' proof of Fermat's Last Theorem?
(ii) Is it useful to combine this approach with older approaches to
Diophantine equations such as Baker's Theory.

26^{th} Jan, Triennial Dinner, Crowne Plaza (Downing Street)

Champagne Reception: 6:30pm
Dress Code: Black Tie
Dine in style with an exquisite three course meal at the Crowne Plaza, in recognition of
another three years of The Archimedeans' success (or for the 2 ^{nd} years, the end of their CATAM
projects!).
Fabulous food, a champagne reception and inclusion of wine, all at a heavily discounted price
of £15 (£20 for nonmembers), make this evening a wonderful start to the term.
Places are limited, so please email The Events Manager to reserve yours.
As seating is prearranged, please include the names of the people with whom you would like to sit.
IMPORTANT: If you have dietary requirements that we need to accommodate, you must reserve your place and
inform us by 3pm, Thursday 20 ^{th} January.
To confirm your reservation, please pay by midnight of 24 ^{th} Jan, otherwise your reservation will be
cancelled. Please send the payment, by cash or cheque (payable to "The Archimedeans"), to Philipp
Kleppmann, Corpus Christi College, or you can pass it to any of the
committee members in person.
Alternatively, make an online transfer (make sure you include your name/crsID so we know who the payment
is from!):
Account Name: The Archimedeans
Account Number: 20116386
SortCode: 401608

4^{th} Feb, The Hodge Conjecture, Professor Richard Thomas (Imperial)

In his popular science book about the Millenium Prize problems,
Keith Devlin admits defeat in trying to describe the Hodge conjecture,
claiming that it cannot be visualised, and advising the reader to give up.
In the New York Times, May 25^{th}, 2004, he is quoted: "Mathematics has reached
a stage of such abstraction that many of its frontier
problems cannot be understood even by the experts".
Obviously this is nonsense, as I shall try to convince you. (But I'll assume a
little knowledge of holomorphic functions, so perhaps he's right and that makes
you an expert.)

18^{th} Feb, P vs NP, Professor Anuj Dawar (Computer Lab)

The practical implications of this problem affect all areas of modern life, from data encryption to curing cancer!

11^{th} Mar, Poincare Conjecture, Professor Simon Donaldson (Imperial)

The only Millenium problem to be solved to date, and who better to tell
you about it then a member of the advisory boards which awarded the Millenium
prize.

13^{th} March, An Introduction to Raptor Theory: The Annual Problems Drive

How far can you get before being chased down by a raptor?
How many raptors can you fit in a hypercage?
Can you avoid being stabbed by the Applied Mathmo?
Find out at The Archimedeans' Annual Problems Drive.
Date: Sunday 13 ^{th} March
Time: 14:00 to 15:15
Location: CMS Core
Compete in pairs in this lighthearted contest in witty mathematics and mathematical wit.
There'll be various prizes for different achievements, and of course, light refreshments for all those who attend.
There is a limit on the number of pairs that can compete, so please reserve your pair's place by
emailing the Events Manager.

16^{th} March, Annual General Meeting  19:30  I4, New Court, Corpus Christi College

Be at the AGM where there will be an annual review, a chance for you to raise any questions and the election of the new committee!
This is your opportunity, not only to continue the success of the Archimedeans, but to make the Society even better.
It's an experience we highly recommend: it's enjoyable, you will learn a lot during your time on the committee,
develop old and new skills (teamwork, communication, etc., which is always handy on the good ol' CV) and, not to
mention, meet new people!
The available roles, along with their descriptions, can be found here.
Please do consider joining the committee. Even if you're unsure which position to run for, we are keen to hear from anybody
who is interested and will come up with a solution which works for you.
Please submit your nomination by emailing (with subject "Archimedeans
Nomination") the following information to the Secretary:
Name:
College:
Position:
Name of Proposer:
Name of Seconder:
Please note that the Proposer and Seconder must also be current members of
The Archimedeans.

Michaelmas 2010
14^{th} Oct, 12pm The Riemann Hypothesis, Professor Ben Green (DPMMS)

Cockcroft Lecture Theatre
Find out about the most widely known of the Millennium Maths problems.
(Even Hollywood recognises it with the film Proof!)

14^{th} Oct, 1pm, Freshers' Squash, St Columba's Hall, Downing Street

Meet new people, grab free pizza and of course, membership at reduced prices.

21^{st} Oct, 7 pm, Deal yourself a winning hand. Ramsden Room, St Catharine's College

Find out about the closest thing to a sure thing in your career as an actuary.
Join our sponsor, Lane, Clark and Peacock for drinks. For more info
visit www.lcp.uk.com

5^{th} Nov, Cambridge Gems Professor Bela Bollobas (DPMMS)

A rare opportunity to hear a talk from a winner of the Senior Whitehead Prize,
holder of an 'Erdos Number' of 1 and simply one of the best speakers in Mathematics.
In this talk, he will present three results by some of the most eminent Cambridge
mathematicians of the last century.

11^{th} Nov, Jane Street Capital Presentation, 18:3021:00. The Newton Room, The Pitt Buildings, Trumpington Street

Find out about a career in one of the fastest growing quantitative proprietary trading firms.

12^{th} Nov, Touring with Turing, Professor Andrew Thomason (DPMMS)

What is a Turing machine? And is a Turing Machine smarter than a 10 year
old? There's only one way to find out, of course ... yet by thinking about
it instead, Turing reckoned they were about the same. We shall try to say
why, and to offer a brief panorama of the mathematics behind computers,
leading on to some tantalisingly simplesounding open questions.

15^{th} Nov, Careers in Quantitative Finance 18:00, The Newton Room, Pitt Building, Trumpington Street

Gloucester Research Ltd invites Part III Maths and PhD students in Maths, Physics, Engineering,
Statistics, Computer Science and Computational Biology to join them for an informal evening with
drinks and canapes. Find more info here.

19^{th} Nov, YangMills Theory (YMT) , Professor David Tong (DAMTP) Trumpington Street

The YangMills equations govern the strong nuclear force which binds
quarks inside the proton and neutron. They are a generalization
of Maxwell's equations, though unlike Maxwell's equations, they are nonlinear and
correspondingly much harder to solve. This talk will describe the
equations and explain some expected properties of the solutions, including
the meaning of the famous "mass gap".

26^{th} Nov, Fundamental Theorem of Comedy, 19:30pm, MR2, CMS
Trumpington Street 
Will it be a continuous night of laughter? Will the humour have no upper bound?
Will there be any maths references at all? Only ICE has the answer!

