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Mathematical Institute

Series associated with Mathematical Institute

A Mathematician's Holiday
Mathematical Institute
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The Secrets of Mathematics
# Episode Title Description People Date
1 Oxford Mathematics 2nd Year Student Lecture - Differential Equations 2 Oxford Mathematician Peter Howell starts the second part of the 2nd year Differential Equations course which focuses on boundary problems. Peter Howell 09 Apr 2020
2 Oxford Mathematics Public Lecture: Alan Champneys - Why pedestrian bridges wobble: Synchronisation and the wisdom of the crowd So much noise, so many opinions. Perhaps time for Occam's Razor to start its scientific shaving? Alan Champneys 31 Mar 2020
3 Oxford Mathematics 3rd Year Student Lecture - Mathematical Models of Financial Derivatives Our latest student lecture features the first lecture in the third year course on Mathematical Models of Financial Derivatives from Sam Cohen where we hear that the role of derivatives is not to make money but to avoid being exploited. Sam Cohen 02 Mar 2020
4 Oxford Mathematics 1st Year Student Lecture - Linear Algebra II Our latest student lecture features the first lecture in the second term introductory course on Linear Algebra from leading Oxford Mathematician James Maynard. James Maynard 02 Mar 2020
5 Oxford Mathematics Public Lecture: Ian Griffiths - Cheerios, iPhones and Dysons: going backwards in time with fluid mechanics How do you make a star-shaped Cheerio? How do they make the glass on your smartphone screen so flat? And how can you make a vacuum filter that removes the most dust before it blocks? Ian Griffiths 26 Feb 2020
6 Oxford Mathematics Public Lectures - Carlo Rovelli  - Spin networks: the quantum structure of spacetime from Penrose's intuition to Loop Quantum Gravity Carlo Rovelli delivers The Roger Penrose Lecture on the Quantum structure of Spacetime. Carlo Rovelli 16 Jan 2020
7 Oxford Mathematics Christmas Public Lecture: Chris Budd - Why does Rudolf have a shiny nose? From the unfairness of voting on TV shows to how Santa gets down so many narrow chimneys. Chris Budd take a mathematical look at the traditions of Christmas. Chris Budd 19 Dec 2019
8 Jon Chapman - Waves and resonance: from musical instruments to vacuum cleaners, via metamaterials and invisibility cloaks Via guitars, clarinets and a musical saw to the noise reduction in a vaccum cleaner, Jon Chapman explains the role of waves in the sounds we hear and don't hear. Jon Chapman 02 Dec 2019
9 Oxford Mathematics 2nd Year Student Lecture - Quantum Theory Our latest student lecture is the first in the Quantum Theory course for second year students. Fernando Alday reflects on the breakdown of the deterministic world and describes some of the experiments that defined the new Quantum Reality. Fernando Alday 02 Dec 2019
10 Oxford Mathematics London Public Lecture: Timothy Gowers - Productive generalization: one reason we will never run out of interesting mathematical questions In our Oxford Mathematics London Public Lecture Tim Gowers uses the principle of generalization to show how mathematics progresses in its relentless pursuit of problems. Tim Gowers, Hannah Fry 27 Nov 2019
11 Oxford Mathematics Newcastle Public Lecture: Vicky Neale - in Maths Mathematics has no place for emotion, its practitioners are positively unemotional. True? Well, no. In fact 10 out of 10 untrue. Mathematics and mathematicians are also on the emotional rollercoaster. Vicky Neale is one of them. Vicky Neale 27 Nov 2019
12 Oxford Mathematics 2nd Year Student Lecture - Differential Equations 1 We continue with our series of Student Lectures with this first lecture in the 2nd year Course on Differential Equations. Philip Maini 04 Nov 2019
13 Oxford Mathematics 1st year Student Lecture - Introductory Calculus In our latest student lecture we would like to give you a taste of the Oxford Mathematics Student experience as it begins in its very first week. Dan Ciubotaru 04 Nov 2019
14 Oxford Mathematics Public Lectures: David Sumpter - Soccermatics: could a Premier League team one day be managed by a mathematician? What do you need to win the Premier League? Money? Sure. Good players? Yup. A great manager? It helps. Mathematics? Really? 100%. David Sumpter 04 Nov 2019
15 Oxford Mathematics Open Days Part 3. Applied Mathematics at Oxford Our Open Days are intended to give an insight in to Maths at Oxford, whether you are a potential applicant or are just curious. Dominic Vella 10 Jul 2019
16 Oxford Mathematics Open Days Part 2. Pure Mathematics at Oxford In this talk Vicky Neale gives a glimpse of the undergraduate Pure Maths courses through the lens of elliptic curves. Vicky Neale 10 Jul 2019
17 Oxford Mathematics Open Days Part 1. Introduction to Mathematics In this talk, Admissions Guru James Munro explains how we teach, how you can apply and what your Oxford mathematical life might be like. James Munro 10 Jul 2019
18 Oxford Mathematics Public Lectures: John Bush - Walking on water: from biolocomotion to quantum foundations In this Public Lecture, which contains more technical content than our norm, John Bush presents seemingly disparate topics which are in fact united by a common theme and underlaid by a common mathematical framework. John Bush 28 Jun 2019
19 Oxford Mathematics Public Lectures: Marcus du Sautoy - The Creativity Code: how AI is learning to write, paint and think In this fascinating and provocative lecture, Marcus du Sautoy both tests our ability to distinguish between human and machine creativity, and suggests that our creativity may even benefit from that of the machines. Marcus du Sautoy 03 Jun 2019
20 Oxford Mathematics Public Lectures: Graham Farmelo - The Universe Speaks in Numbers An old-fashioned tale of tale of romance and estrangement, of hope and despair. Graham Farmelo 21 May 2019
21 Oxford Mathematics 1st Year Student Lecture: Analysis III - Integration The third in our popular series of filmed student lectures takes us to Integration. This is the opening lecture in the 1st Year course. Ben Green 09 May 2019
22 Oxford Mathematics Public Lectures: Marc Lackenby - Knotty Problems Knots are a familiar part of everyday life, for example tying your tie or doing up your shoe laces. They play a role in numerous physical and biological phenomena, such as the untangling of DNA when it replicates. Marc Lackenby 20 Mar 2019
23 Oxford Mathematics First Year Student Tutorial on Dynamics The Oxford Mathematics educational experience is a journey, a journey like any other educational experience. Ian Hewitt, Kate Adams, Farid Manzoor 22 Feb 2019
24 Oxford Mathematics 1st Year Undergraduate Lecture James Sparks - Dynamics For the first time ever, Oxford Mathematics has live streamed a student lecture. It took 800 years but now you can see what it is really like. We hope you find it familiar and intriguing and challenging. James Sparks 15 Feb 2019
25 James Maynard - Prime Time: How simple questions about prime numbers affect us all Prime Numbers are fascinating, crucial and ubiquitous. The trouble is, we don't know that much about them. James Maynard, one of the leading researchers in the field explains all (at least as far as he can). James Maynard 15 Feb 2019
26 Oxford Mathematics Public Lectures: Hooke Lecture - Michael Berry - Chasing the dragon: tidal bores in the UK and elsewhere In some of the world’s rivers, an incoming high tide can arrive as a smooth jump decorated by undulations, or as a breaking wave. The river reverses direction and flows upstream. Michael Berry 28 Jan 2019
27 Oxford Mathematics Student Lectures: An Introduction to Complex Numbers - Vicky Neale Much is written about life as an undergraduate at Oxford but what is it really like? Vicky Neale 22 Jan 2019
28 Oxford Mathematics Public Lectures: Marcus du Sautoy - The Num8er My5teries With topics ranging from prime numbers to the lottery, from lemmings to bending balls like Beckham, Professor Marcus du Sautoy provides an entertaining and, perhaps, unexpected approach to explain how mathematics can be used to predict the future. Marcus du Sautoy 14 Jan 2019
29 Can we build AI with Emotional Intelligence? The 2018 Annual Charles Simonyi Lecture Marcus du Sautoy and Professor Rosalind Picard for 2018's annual Simonyi Lecture: Can we build AI with Emotional Intelligence? Marcus du Sautoy, Rosalind Picard 09 Nov 2018
30 Roger Penrose in conversation with Hannah Fry - Oxford Mathematics Public Lectures In our Oxford Mathematics London Public Lecture Roger Penrose in conversation with Hannah Fry reveals his latest research, a veritable chain reaction of universes, which he says has been backed by evidence of events that took place before the Big Bang. Roger Penrose, Hannah Fry 06 Nov 2018
31 Oxford Mathematics and the Clay Mathematics Institute Public Lectures: Roger Penrose - Eschermatics In this lecture Roger Penrose uses M.C Escher's work to illustrate and explain important mathematical ideas and their connections to the visual arts. Roger Penrose 01 Oct 2018
32 John Ball in conversation with Alain Goriely John Ball is retiring as Sedleian Professor of Natural Philosophy, Oxford oldest Scientific Chair. In this interview he charts the journey of the Applied Mathematician.as the subject has developed over the last 50 years. John Ball, Alain Goriely 27 Jul 2018
33 Oxford Mathematics Public Lectures - Richard James - Atomistically inspired origami The World population is growing at about 80 million per year. As time goes by, there is necessarily less space per person. Perhaps this is why the scientific community seems to be obsessed with folding things. Richard James 06 Jul 2018
34 Oxford Mathematics Public Lectures - Numbers are Serious but they are also Fun - Michael Atiyah Archimedes, who famously jumped out of his bath shouting "Eureka", also 'invented' the number pi. Euler invented e and had fun with his formula e^(2 pi i) = 1. The world is full of important numbers waiting to be invented. Why not have a go? Michael Atiyah 23 May 2018
35 Oxford Mathematics Public Lectures - Can Mathematics Understand the Brain?' - Alain Goriely The human brain is the object of the ultimate intellectual egocentrism. It is also a source of endless scientific problems and an organ of such complexity that it is not clear that a mathematical approach is even possible, despite many attempts. Alain Goriely 16 Mar 2018
36 Oxford Mathematics Public Lectures - Euler’s pioneering equation: "the most beautiful theorem in mathematics" - Robin Wilson Euler’s equation, the ‘most beautiful equation in mathematics’, startlingly connects the five most important constants in the subject: 1, 0, π, e and i. Central to both mathematics and physics. So what is this equation – and why is it pioneering? Robin Wilson 07 Mar 2018
37 Oxford Mathematics Public Lectures - Scaling the Maths of Life - Michael Bonsall Michael Bonsall explores how we can use mathematics to link between scales of organisation in biology, delving in to developmental biology, ecology and neurosciences. Michael Bonsall 12 Feb 2018
38 Can Yule Solve My Problems? - Alex Bellos In our Oxford Mathematics Christmas Lecture Alex Bellos challenges you with some festive brainteasers as he tells the story of mathematical puzzles from the middle ages to modern day. Alex Bellos 13 Dec 2017
39 Oxford Mathematics London Public Lecture - Andrew Wiles In the first Oxford Mathematics London Public Lecture, in partnership with the Science Museum, world-renowned mathematician Andrew Wiles lectured on his current work around Elliptic Curves followed by conversation with Hannah Fry. Andrew Wiles, Martin Bridson, Mary Archer, Hannah Fry 06 Dec 2017
40 The Seduction of Curves: The Lines of Beauty That Connect Mathematics, Art and The Nude - Allan McRobie Allan McRobie explains how the key to understanding the language of curves is Rene Thom’s Catastrophe Theory, and how remarkably the best place to learn that language is perhaps in the life drawing class. Allan McRobie 16 Nov 2017
41 Maths v Disease - Julia Gog Can mathematics really help us in our fight against infectious disease? Join Julia Gog as we explore exciting current research areas where mathematics is being used to study pandemics, viruses and everything in between. Julia Gog 13 Nov 2017
42 Closing the Gap: the quest to understand prime numbers - Vicky Neale Prime numbers have intrigued, inspired and infuriated mathematicians for millennia and yet mathematicians' difficulty with answering simple questions about them reveals their depth and subtlety. Vicky Neale 24 Oct 2017
43 The Law of the Few - Sanjeev Goyal The study of networks offers a fruitful approach to understanding human behaviour. Sanjeev Goyal is one of its pioneers. In this lecture Sanjeev presents a puzzle: Sanjeev Goyal 04 Jul 2017
44 The Sound of Symmetry - Marcus du Sautoy Symmetry has played a role both for composers and in the creation of musical instruments. Marcus du Sautoy 24 May 2017
45 The Butterfly Effect - What Does it Really Signify? - Tim Palmer Tim Palmer discusses Ed Lorenz the man and his work, and compares and contrasts the meaning of the 'Butterfly Effect' as most people understand it today, and as Lorenz himself intended it to mean. Tim Palmer 18 May 2017
46 Statistics: Why the Truth Matters - Tim Harford Tim Harford, Financial Times columnist and presenter of Radio 4's "More or Less", argues that politicians, businesses and even charities have been poisoning the value of statistics and data. Tim Harford 14 Feb 2017
47 Creative Commons The Mathematics of Visual Illusions - Ian Stewart Puzzling things happen in human perception when ambiguous or incomplete information is presented to the eyes. Ian Stewart 05 Jan 2017
48 How can we understand our complex economy? - J. Doyne Farmer We are getting better at predicting things about our environment - the impact of climate change for example. But what about predicting our collective effect on ourselves? J Doyne Farmer 10 Nov 2016
49 Autism and Minds Wired for Science Simon Baron-Cohen, Professor of Developmental Psychopathology, Cambridge, and Director of the Autism Research Centre, gives the 2016 Charles Simonyi Lecture on new research into autism. Simon Baron-Cohen, Marcus du Sautoy 31 Oct 2016
50 As he retires from the the Savilian Chair of Geometry, Oxford Mathematician Nigel Hitchin reflects From early mathematical inspiration at school in Duffield, Derbyshire, Nigel recalls his often unplanned progress via Jesus College, Oxford, Princeton, Cambridge and Warwick, before his final return to Oxford. Nigel Hitching, Martin Bridson 19 Oct 2016
51 Fashion, Faith, and Fantasy in the New Physics of the Universe - Roger Penrose What can fashionable ideas, blind faith, or pure fantasy have to do with the scientific quest to understand the universe? Surely, scientists are immune to trends, dogmatic beliefs, or flights of fancy? Roger Penrose 19 Oct 2016
52 Creative Commons PDEs (5.8) In this concluding lecture, Professor Nick Trefethen discusses the question Who invented the great numerical algorithms? Nick Trefethen 17 Oct 2016
53 Creative Commons PDEs (5.7) In this lecture, Professor Trefethen discusses Chebyshev spectral discretization. Nick Trefethen 17 Oct 2016
54 Creative Commons PDEs (5.6) In this lecture, Professor Trefethen discusses Fourier, Laurent, and Chebyshev. Then, Chebyshev series and interpolants Nick Trefethen 17 Oct 2016
55 Creative Commons PDEs (5.5) In this lecture, Professor Trefethen discusses Fourier spectral discretization and Fourier spectral discretization via FFT. Nick Trefethen 17 Oct 2016
56 Creative Commons PDEs (5.4) In this lecture, Professor Trefethen discusses finite differencing in general grids and multiple space dimensions. Nick Trefethen 17 Oct 2016
57 Creative Commons PDEs (5.3) In this lecture, Professor Trefethen discusses order of accuracy and reaction-diffusion equations and other stiff PDEs. Nick Trefethen 17 Oct 2016
58 Creative Commons PDEs (5.2) In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences. Nick Trefethen 17 Oct 2016
59 Creative Commons PDEs (5.1) In this lecture, Professor Trefethen discusses PDEs in science and engineering, and explicit 1D finite differences. Nick Trefethen 17 Oct 2016
60 Creative Commons ODEs and Nonlinear Dynamics (4.4) In this lecture, Professor Trefethen discusses stability regions, stiffness, and looks at BVPs in Chebfun. Nick Trefethen 17 Oct 2016
61 Creative Commons ODEs and Nonlinear Dynamics (4.3) In this lecture, Professor Trefethen discusses planetary motions, chaos and Lyapunov exponents, the Lorenz equations, and lastly Sinai billiards and the SIAM 100-digit challenge. Nick Trefethen 17 Oct 2016
62 Creative Commons ODEs and Nonlinear Dynamics (4.2) In this lecture, Professor Trefethen discusses order of accuracy, convergence and stability, and adaptive ODE codes. Nick Trefethen 17 Oct 2016
63 Creative Commons ODEs and Nonlinear Dynamics (4.1) In this lecture, Professor Trefethen discusses ODEs and IVPs, Runge-Kutta and multistep formulas, IVP codes in MATLAB and Simulink, and in the end reviews IVP solutions in Chebfun. Nick Trefethen 17 Oct 2016
64 Creative Commons Optimization (3.3) In this lecture, Professor Trefethen discusses NEOS and COIN-OR, constraints and linear programming, and quadratic programming and linear constraints. Nick Trefethen 03 Oct 2016
65 Creative Commons Optimization (3.2) In this lecture, Professor Trefethen discusses Newton's methods for minimizing a function of several variables. He then moves on from Newton's method to practical optimization. Nick Trefethen 03 Oct 2016
66 Creative Commons Optimization (3.1) In this lecture, Professor Trefethen discusses Newton's methods for 1) a single equation, 2) a system of equations, and 3) minimizing a function of 1 variable. Nick Trefethen 03 Oct 2016
67 Creative Commons Dense Linear Algebra (2.5) In this lecture, Professor Trefethen provides a demonstration of Chebfun. Nick Trefethen 03 Oct 2016
68 Creative Commons Dense Linear Algebra (2.4) In this lecture, Professor Trefethen discusses matrix factorizations and SVD. Nick Trefethen 03 Oct 2016
69 Creative Commons Dense Linear Algebra (2.3) In this lecture, Professor Trefethen discusses floating point arithmetic and backward error analysis. Nick Trefethen 03 Oct 2016
70 Creative Commons Dense Linear Algebra (2.2) In this lecture, Professor Trefethen discusses QR factorization, the computation of the QR factorization, and linear least-squares. Nick Trefethen 03 Oct 2016
71 Creative Commons Dense Linear Algebra (2.1) In this lecture, Professor Trefethen discusses matrices, vectors and expansions, including orthogonal vectors and matrices. Nick Trefethen 03 Oct 2016
72 Creative Commons Sparse Matrices and Iterative Methods (1.4) In this lecture, Professor Trefethon provides a definition of numerical analysis and provides an overview of matrix iterations, including a discussion on the Lanczos iteration. He also reviews various numerical software tools and information sources. Nick Trefethen 03 Oct 2016
73 Creative Commons Sparse Matrices and Iterative Methods (1.3) In this lecture, Professor Trefethen discusses preconditioned CG and also provides examples of preconditioners Nick Trefethen 03 Oct 2016
74 Creative Commons Sparse Matrices and Iterative Methods (1.2) In this lecture, Professor Trefethen discusses the topic of conjugate gradients and the convergence of CG. Nick Trefethen 03 Oct 2016
75 Creative Commons Sparse Matrices and Iterative Methods (1.1) In this lecture, Professor Trefethen first provides an overview of the field of linear algebra and optimization. Secondly, he discusses the question of how fast we can solve Ax=3Db? Thirdly, he discusses sparse matrices Nick Trefethen 03 Oct 2016
76 Roger Heath-Brown a Life in Mathematics Roger Heath-Brown is one of Oxford's foremost mathematicians. Roger Heath-Brown, Ben Green 17 Sep 2016
77 Modelling genes: the backwards and forwards of mathematical population genetics - Alison Etheridge In this lecture Professor Alison Etheridge explores some of the simple mathematical caricatures that underpin our understanding of modern genetic data. Alison Etheridge 06 Jul 2016
78 The Prime Number Theorem Oxford Students discuss the Prime Number Theorem. Aled Walker, Simon Myerson, Sofia Lindqvist, Jamie Beacom 15 Jun 2016
79 What We Cannot Know - Marcus du Sautoy Science is giving us unprecedented insight into the big questions that have challenged humanity. Marcus du Sautoy 16 May 2016
80 Creative Commons The Travelling Santa Problem and Other Seasonal Challenges - Marcus du Sautoy The Oxford Mathematics Christmas Public Lecture 2015 examined an aspect of Christmas not often considered: the mathematics. Marcus du Sautoy 18 Dec 2015
81 Creative Commons Symmetry, Spaces and Undecidability - Martin Bridson The understanding of the possible geometries in dimension 3 is one of the triumphs of 20th century mathematics. In this talk Martin Bridson explains why such an understanding is impossible in higher dimensions. Martin Bridson 07 Dec 2015
82 Putting the Higgs Boson in its Place Professor Melissa Franklin talks about her experiences working towards the discovery of the Higgs Boson and her work today at the Large Hadron Collider Melissa Franklin, Marcus du Sautoy 16 Nov 2015
83 M. C. Escher - Artist, Mathematician, Man M.C. Escher is known as the mathematician's (and hippie's) favourite artist. But why? And was Escher, a man who claimed he knew no mathematics, really a mathematical genius? Roger Penrose, Jon Chapman, Alain Goriely, Clem Hitchcock 28 Oct 2015
84 The Gomboc, the Turtle and the Evolution of Shape - Gabor Domokos Gabor Domokos gives a talk on his mathematical journey that led to the creation of the Gomboc, the shape which has just one stable and one unstable point of equilibrium. Gábor Domokos 01 Jul 2015
85 Creative Commons Birth of an Idea: A Mathematical Adventure - Cedric Villani What goes on inside the mind of a mathematician? Where does inspiration come from? Cedric Villani, winner of the most prestigious prize in mathematics, the Fields Medal, explains the process. Inaugural Titchmarsh Lecture 2015. Cedric Villani 12 Mar 2015
86 Why climate change action is difficult and how we can make a difference - David MacKay 2014 Charles Simonyi Lecture with David MacKay. David MacKay 04 Dec 2014
87 Forbidden Crystal Symmetry: Mathematics and architecture - Roger Penrose World-renowned mathematician Sir Roger Penrose, Oxford University, describes how crystalline symmetries are necessarily 2-fold, 3-fold, 4-fold, or 6-fold. Roger Penrose 04 Dec 2014
88 What Maths Really Does: From modelling the brain to modelling the climate - Alain Goriely How has mathematics emerged over recent decades as the engine behind 21st century science? Alain Goriely looks at this question and more. Alain Goriely 04 Dec 2014
89 The History of Mathematics in 300 Stamps - Robin Wilson The entire history of mathematics in one hour, as illustrated by around 300 postage stamps featuring mathematics and mathematicians from across the world. Robin Wilson 03 Dec 2014
90 Creative Commons Big Data's Big Deal - Viktor Mayer-Schonberger Big Data promises to change all sectors of our economy, and deeply affect our society. Viktor Mayer-Schonberger 20 Nov 2014
91 Medicine muddle - Encoding and Binary Given four bottles with indistinguishable liquid, one of which is a vital medicine, two containers and a test that can be done only once, how can you determine which of the the bottles contain the medicine? Thomas Woolley, William Binzi 24 Oct 2014
92 Dim Sum - Coding efficiency In a restaurant where you can order tasting plates of 10 items, what is the smallest number of plates you can order to identify all 10 items on a menu? Thomas Woolley, William Binzi 24 Oct 2014
93 Fix the Hotel Rooms - Topology By drawing on a piece of paper, can you connect three houses to three utilities (gas, electricity, water) without any of the lines crossing? Thomas Woolley, William Binzi 24 Oct 2014
94 The Tiny Lift - Graphs How can you get three people to the upper floor of the hotel if two of them can never be left alone? Thomas Woolley, William Binzi 24 Oct 2014
95 Hotel fire - Optimisation What is the quickest route to get from where you are standing, collect some water from a river and get to the hotel? Thomas Woolley, William Binzi 24 Oct 2014
96 Bags mix-up- Logic and Decision Trees Three bags contain 2 t-shirts or 2 hoodies or 1 hoodie and 1 t-shirt, and none are labelled correctly. Can you tell which back belongs to whom by only taking one (random) item from one bag? Thomas Woolley, William Binzi 24 Oct 2014
97 Late for the plane - Abstraction and Optimisation What is the quickest route between two points, if you can only cross the runways at a perpendicular? Thomas Woolley, William Binzi 24 Oct 2014
98 Airport security - Trilinear Coordinates How do we measure out 100ml of a liquid using only containers taking quantities of 75ml, 125ml and 200ml? Thomas Woolley, William Binzi 24 Oct 2014
99 Planning the tour - Abstraction and Graph Theory How do you construct a tour travelling between a number of different cities, but never using the same transport method between two cities more than once? Thomas Woolley, William Binzi 24 Oct 2014
100 Love and Math A public lecture given by Edward Frenkel, a professor at the University of California at Berkeley, talking around his best-selling book "Love and Math" followed by a conversation with Marcus du Sautoy and Q&A. Edward Frenkel, Marcus du Sautoy 12 Jul 2014