The Secrets of Mathematics - podcast cover

The Secrets of Mathematics

Oxford Universitypodcasts.ox.ac.uk
A series of talks and lectures from Oxford Mathematicians exploring the power and beauty of their subject. These talks would appeal to anyone interested in mathematics and its ever-growing range of applications from medicine to economics and beyond.
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Episodes

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. From the tobacco companies in the fifties to the arguments of the Brexit campaign, Tim Harford takes us on a tour of truths, facts and the weapon that is doubt. Surely fact-checking websites and rational thinking are the best weapons to convince people of the truth? Or is in fact the truth simply not good en...

Feb 14, 201758 min

The Mathematics of Visual Illusions - Ian Stewart

Puzzling things happen in human perception when ambiguous or incomplete information is presented to the eyes. In this lecture Ian Stewart demonstrates how these phenomena provide clues about the workings of the visual system. For example, illusions, or multistable figures occur when a single image can be perceived in several ways. In this talk Ian references recent research which has modelled simplified, systematic methods by which the brain can make decisions. Ian Stewart is Emeritus Professor ...

Jan 05, 201750 min

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? We can predict the small things, but we fail miserably when it comes to many of the big things. The financial crisis cost the world trillions, yet our ability to forecast and mitigate the next economic crisis is very low. Is this inherently impossible? Or perhaps we are just not going about it the right way? The complex systems...

Nov 10, 20161 hr 7 min

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.

Oct 31, 20161 hr 3 min

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. Along the way such luminaries as Michael Atiyah and Simon Donaldson play their part as Nigel talks about time spent with physicists in Cambridge, the Eureka moments when the answers take shape, to his final reflections on a career where the name Hitchin is attached to so many of the tools ...

Oct 19, 20161 hr 7 min

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? In this lecture, based on his new book, Roger will argue that fashion, faith, and fantasy, while sometimes productive and even essential, may be leading today's researchers astray, most notably in three of science's most important areas - string theory, quantum mechanics, and cosmology. Yet Roger ...

Oct 19, 20161 hr 1 min

Roger Heath-Brown a Life in Mathematics

Roger Heath-Brown is one of Oxford's foremost mathematicians. In this interview with fellow Oxford Mathematician Ben Green, Roger reflects on his influences, his achievements and the pleasures that the subject of mathematics has given him. Roger Heath-Brown's work in analytic number theory has been critical to the advances in the subject over the past thirty years and garnered Roger many prizes. On the eve of his retirement Roger spoke to Ben Green, Waynflete Professor of Mathematics in Oxford a...

Sep 17, 201637 min

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. How can we explain the patterns of genetic variation in the world around us? The genetic composition of a population can be changed by natural selection, mutation, mating, and other genetic, ecological and evolutionary mechanisms. How do they interact with one another, and what was their relative importance in shaping the patterns we see today?

Jul 06, 201654 min

What We Cannot Know - Marcus du Sautoy

Science is giving us unprecedented insight into the big questions that have challenged humanity. Where did we come from? What is the ultimate destiny of the universe? What are the building blocks of the physical world? What is consciousness? 'What We Cannot Know' asks us to rein in this unbridled enthusiasm for the power of science. Are there limits to what we can discover about our physical universe? Are some regions of the future beyond the predictive powers of science and mathematics? Are the...

May 16, 201656 min

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. Delivered by Marcus du Sautoy, Simonyi Professor for the Public Understanding of Science. The Oxford Mathematics Christmas Lecture is generously sponsored by G-Research - Researching investment ideas to predict financial markets.

Dec 18, 201558 min

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. When one wants to describe the symmetries of any object or system, in mathematics or everyday life, the right language to use is group theory. How might one go about understanding the universe of all groups and what kinds of novel geometry might emerge as we explore this universe? Martin ...

Dec 07, 20151 hr 2 min

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 This entertaining lecture by experimental particle physicist, Professor Melissa Franklin (the first woman to achieve tenure in the Harvard Physics Department), is the latest in the Charles Simonyi annual lecture series. This series was set up in 1999 in order to promote the public understanding of Science

Nov 16, 201551 min

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? In this lecture Roger Penrose and Jon Chapman not only show why Escher has won the artistic and mathematical hearts of mathematicians, but also why his art is inspiring both artists and mathematicians today, as captured in Jon's brilliant updating of Escher's 'Picture Gallery' to the new mathematics building in Oxford. Pleas...

Oct 28, 20151 hr 12 min

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. In 1995, Russian mathematician V.I. Arnold conjectured that convex, homogeneous solids with just two static balance points (weebles without a bottom weight) may exist. Ten years later the first Gomboc was built. Gabor Domokos, will describe his own part in the journey of discovery, the mathematics behind that journey and the cur...

Jul 01, 201551 min

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.

Mar 12, 201557 min

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. From Euclid to Euler, from Pythagoras to Poincare, and from Fibonacci to the Fields Medals, all are featured in attractive, charming and sometimes bizarre stamps. No knowledge of mathematics or philately required.

Dec 03, 201457 min

Big Data's Big Deal - Viktor Mayer-Schonberger

Big Data promises to change all sectors of our economy, and deeply affect our society. But beyond the current hype, what are Big Data's salient qualities, and do they warrant the high hopes? These are some of the questions that this talk addresses. Speaker: Viktor Mayer-Schönberger

Nov 20, 201444 min

Extra Time: Professor Sir Roger Penrose in conversation with Andrew Hodges - part one

These two video sessions explore the development of Sir Roger Penrose's thought over more than 60 years, ending with his most recent theories and predictions. In the first session, Roger Penrose explains the impact of his time at Cambridge in the 1950s. The interview brings out his highly unconventional choice of subjects for deep study, which completely ignored the boundary between 'pure' and 'applied' mathematics. Those familiar with his world-leading development of relativity theory in the 19...

Jun 18, 201451 min

Extra Time: Professor Sir Roger Penrose in conversation with Andrew Hodges - part two

These two video sessions explore the development of Sir Roger Penrose’s thought over more than 60 years, ending with his most recent theories and predictions. In the second session, the emphasis shifts to the recent developments in Roger Penrose's thought. He gives a very clear outline of his argument for Conformal Cyclic Cosmology as the correct description of the Big Bang. However, the conversation turns once again to the precursors of these ideas in the 1950s, with new anecdotes about Dirac a...

Jun 18, 201443 min

Sir Michael Atiyah, a Life in Mathematics

In conversation with Paul Tod on the occasion of Sir Michael's 85th birthday conference. A portrait of the contribution that Sir Michael Atiyah has made to mathematics over his career together with his recollections of formative people and events. Interview by Professor Paul Tod.

May 12, 201433 min

Why there are no three-headed monsters, resolving some problems with brain tumours, divorce prediction and how to save marriages - James D Murray

Professor James D Murray, Professor Emeritus of Mathematical Biology, University of Oxford and Senior Scholar, Applied and Computational Mathematics, Princeton University, gives the annual Hooke Lecture. Understanding the generation and control of pattern and form is still a challenging and major problem in the biomedical sciences. I shall describe three very different problems. First I shall briefly describe the development and application of the mechanical theory of morphogenesis and the disco...

Mar 21, 20141 hr 19 min

Partial Differential Equations: Origins, Developments and Roles in the Changing World - Gui-Qiang George Chen

Professor Gui-Qiang G. Chen presents in his inaugural lecture several examples to illustrate the origins, developments, and roles of partial differential equations in our changing world. While calculus is a mathematical theory concerned with change, differential equations are the mathematician's foremost aid for describing change. In the simplest case, a process depends on one variable alone, for example time. More complex phenomena depend on several variables - perhaps time and, in addition, on...

Jan 15, 201452 min

Prime Numbers - Richard Earl

Dr Richard Earl of the Mathematical Institute, Oxford presents a talk about prime numbers. What they are and their role in internet security.

Jan 15, 201448 min
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