relevant conferences

School and Workshop on Modular Forms and Black Holes, 5–14 January 2017, National Institute of Science Education and Research, Bhubaneswar, India

Dynamics, Geometry and Number Theory, 13–17 June 2016, Institut Henri Poincaré, Paris

"French–Japanese Workshop on multiple zeta functions and applications", 7–9 September 2015, Saint-Etienne, France

"The interrelation between mathematical physics, number theory and non-commutative geometry", 2–13 March, 2015, ESI, University of Vienna

Workshop on Algebraic, Number Theoretic and Graph Theoretic Aspects of Dynamical Systems, 2–6 February, 2015, UNSW, Sydney, Australia

Analysis, Spectra, and Number Theory, 15–19 December 2014, Princeton University and the Institute for Advanced Study, Princeton, NJ

This conference is being organized in honour of Peter Sarnak on the occasion of his 61st birthday.

Pseudorandomness in Number Theory, 14–18 July 2014, CIRM (Marseille),

Symmetries and correspondences in number theory, geometry, algebra and quantum computing: Intra-disciplinary trends, 5–10 July 2014, Mathematical Institute, Oxford, UK

Interactions between Dynamics of Group Actions and Number Theory, 9 June–4 July 2014, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK

Dynamics and Numbers, 1 June–31 July 2014, Max Planck Institute for Mathematics, Bonn

Dynamics and Analytic Number Theory, 31 March–4 April 2014, Durham University, UK

Model Theory, Arithmetic Geometry and Number Theory, 20 January–23 May 2014, Mathematical Sciences Research Institute, UC-Berkeley

"The program aims to further the flourishing interaction between model theory and other parts of mathematics, especially number theory and arithmetic geometry. At present the model theoretical tools in use arise primarily from geometric stability theory and o-minimality. Current areas of lively interaction include motivic integration, valued fields, diophantine geometry, and algebraic dynamics."

Introductory Workshop: Model Theory, Arithmetic Geometry and Number Theory, 3–7 February 2014, Mathematical Sciences Research Institute, UC-Berkeley

"Model theory is a branch of mathematical logic whose structural techniques have proven to be remarkably useful in arithmetic geometry and number theory. We will introduce in this workshop some of the main themes of the programme covering such topics as Additive Combinatorics, Algebraic Dynamics, Berkovich Spaces, and the Pink–Zilber Conjectures."

Multiple Zeta Values, Multiple Polylogarithms and Quantum Field Theory, 7–11 October, 2013, ICMAT, Campus de Cantoblanco, Madrid

Multiple Zeta Values in Mathematics and Physics, 1–5 October, 2013, Humboldt University, Berlin, Germany

Clay Research Conference: Number Theory and Physics, 30 September– October 4, 2013, Mathematical Institute, Oxford University, UK

Chance & Chaos: From Physics to Number Theory, 16 September 2013, School of Mathematics, University of Bristol, UK

Summer School 2013: Theory of Numbers and Dynamics, 17 June–5 July, 2013, Institut Fourier, Grenoble

Advances in number theory and dynamical systems, 8–12 April, 2013, University of Bristol, UK

Conference on zeta functions, Independent University of Moscow, 19–23 November, 2012

Numbers and Truth: The Philosophy and Mathematics of Arithmetic and Truth
A Marcus Wallenberg Symposium, Gothenburg, Sweden, 19–21 October, 2012

The conference was organized by the Department of Philosophy, Linguistics and Theory of Science at the University of Gothenburg in cooperation with the Institute of Philosophy at the University of Warsaw and the Department of Philosophy at Lund University.

Arithmetic Geometry and Arithmetic Dynamics: Conference on the occasion of the 70th birthday of Lucien Szpiro, 29 May–1 June, 2012, The Graduate Center of the City University of New York

ICERM Semester Program on Complex and Arithmetic Dynamics, 30 January 30–4 May, 2012, Brown University, USA

ICERM Semester Program Workshop on Complex and p-adic Dynamics, 13–17 February, 2012, Brown University, USA

ICERM Semester Program Workshop on Global Arithmetic Dynamics, 12–16 March, 2012, Brown University, USA

ICERM Semester Program Workshop on Moduli Spaces associated to Dynamical Systems, 16–20 April, 2012, Brown University, USA

Dynamics on Homogeneous Spaces and Number Theory, September 12–16, 2011, Mathematics Research Institute, Ohio State University

The Pretentious View of Analytic Number Theory, June 26–July 2, 2011, Mathematics Research Communities, Snowbird Resort, Utah, USA

"Since Riemann's 1859 monograph, the study of the distribution of prime numbers has been dominated by the study of the zeros of the Riemann zeta function and Dirichlet L-functions. Although there have been ad hoc elementary proofs of some of the key results, there has been no coherent alternative approach to that of Riemann. This research community will study a new and different way to develop analytic number theory, without zeros, stemming from the concept of "pretentiousness"."

p-adic Hodge theory, p-adic differential equations and applications, June 6–9, 2011, ENS, Lyon, France

Number Theory and Physics at the Crossroads, Banff International Research Station, May 8–13, 2011

Workshop on Multiple Zeta Values, Modular Forms and Elliptic Motives, May 3–6, 2011, University of Bristol, UK

School and Conference on Modular Forms and Mock Modular Forms and their Applications in Arithmetic, Geometry and Physics, February 28–March 18, 2011, The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

Workshop on Dynamical Systems and Number Theory, December 1, 2010, Department of Computing, Macquarie University and School of Mathematics and Statistics, University of New South Wales, Australia

Exploratory Experimentation and Computation in Number Theory, July 7–9, 2010, University of Newcastle, Australia

EU-Young and Mobile Workshop: Dynamical Systems and Number Theory, May 17–19, 2010, 15 South College, Edinburgh

Second International Workshop on Zeta Functions in Algebra and Geometry, May 3–7, 2010, Palma de Mallorca, Spain

Number Theory as Experimental and Applied Science, January 1 – April 30, 2010, Centre de Recherches Mathématiques, Université de Montréal

"The year 2010 marks the 50th anniversary of the publication of Eugene Wigner's famous essay on the "unreasonable effectiveness of mathematics in the natural sciences". The intervening five decades have witnessed an explosion in the variety and scope of the applications of mathematics, to the extent that one can now speak of an ongoing "mathematization" of many branches of science and indeed of society as a whole. Number theory, traditionally viewed as far removed from the sphere of applications, now plays a central role in questions pertaining to the design of efficient networks as well as in areas like robotics, computer vision, statistics, coding theory, computer security, and cryptography. By extending the reach of calculation and the potential of the experimental method, ever-more powerful and sophisticated software packages like Maple, Magma and SAGE are transforming the way in which number theorists approach their subject.

The 2010 Winter semester (January 1 – April 30) will be devoted to recent developments in number theory with a specific focus on significant practical applications, as well as on the many ways in which the field stands to be affected by the emergence of new software and technologies."

Workshop on Dynamical Systems and Uniform Distribution, 28–29 January, 2010, TU Graz, Austria

The Diverse Faces of Arithmetic, December 14–16, 2009, University of East Anglia, Norwich, UK

"The conference will cover the remarkable interactions of Number Theory with Logic, Dynamical Systems and Mathematical Physics: for example, novel approaches to Hilbert's Tenth Problem, and connections between Elliptic Divisibility Sequences and Integrable Systems. One of the purposes of the conference is to bring together researchers in quite diverse fields,the common point being an interaction with Number Theory, particularly concerning the arithmetic of recurrence sequences."

Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory. Workshop: June 3–13, 2009; Conference:June 15–19, 2009, Columbia University, New York

International Conference: Mock theta functions and applications in combinatorics, algebraic geometry and mathematical physics, May 25–29, 2009, Max Planck Institute for Mathematics, Bonn

Dynamical Numbers: Interplay between Dynamical Systems and Number Theory", May 1–July 31, 2009, Max Planck Institute for Mathematics, Bonn

"The theory of dynamical systems is currently one of the important areas of mathematics. Since 2000 it is given a separate heading in the Mathematical Reviews. Owing to its universal character, the theory uses methods from various branches of mathematical science (algebra, analysis, topology, ...). It has arisen from an attempt at an adequate description of phenomena in the surrounding world. Therefore it traditionally plays the role of the theoretical basis for various models in physics, biology, economics, etc. Nevertheless, at present also conversely, problems posed in the theory of dynamical systems penetrate other mathematical theories, giving them a fresh impulse, serving as a tool for solving complex problems within these theories and also opening completely new problems. Besides the classical branches of the dynamical systems theory (ergodic theory, topological dynamics, low dimensional, smooth and complex dynamics) there have appeared new ones - algebraic and arithmetical dynamics."

Graduate Workshop on Zeta Functions, L-Functions and their Applications, June 1–4, 2009, Utah Valley University

Special Session on The Interface Between Number Theory and Dynamical Systems, 2009 Spring Central Sectional Meeting, Urbana, IL, March 27–29, 2009

ESI Program on Number Theory and Physics, March 1–April 18, 2009, Vienna

Winter School on Quantum Chaos, January 26–30, 2009, Université de Bordeaux 1, Talence, France

Zeta functions, December 1–5, 2008, Independent University of Moscow

Random matrices, L-functions and primes, October 27–31, 2008, Forschungsinstitut für Mathematik of ETH Zürich

New Directions in the Theory of Universal Zeta- and L-Functions, October 6–10, 2008, Department of Mathematics, Würzburg University, Germany

4th International Kyiv Conference on Analytic Number Theory and Spatial Tessellations, September 22–28, 2008, Drahomanov National Pedagogical University, Kyiv and Institute of Mathematics of National Academy of Sciences of Ukraine

Number Theory and Physics at the Crossroads, Banff International Research Station, September 21–26, 2008

Broader Connections: Ergodic Theory and Additive Combinatorics, August 21–22, 2008, MSRI

Introduction to Ergodic Theory and Additive Combinatorics, August 25–29, 2008, MSRI

Ergodic Theory and Additive Combinatorics, August 18–December 19, 2008, MSRI

Discrete Rigidity Phenomena in Additive Combinatorics, November 3–7, 2008, MSRI

Clay-Fields Conference on Additive Combinatorics, Number Theory and Harmonic Analysis, April 5–13, 2008, Fields Institute

French-Japanese Winter School on Zeta and L-functions, January 8–11, 2008, Moholova Minds Miura, Kanagawa, Japan

International Conference on Number Theory, Mathematical Physics, and Special Functions, December 20–22, 2007, Sastra University, Kumbakonam, India

Workshop on p-adic aspects of differential equations: Crystals, Mirror symmetry, Modular forms, November 5–8, 2007, Centre Bernoulli, EPFL, Lausanne, Switzerland

The Third International Conference on p-adic Mathematical Physics: From Planck scale physics to complex systems to biology, Steklov Mathematical Institute Moscow, Russia, October 1–6, 2007

"p-Adic mathematical physics is a rapidly developing area with numerous applications in different fields ranging from quantum theory to chaotic and nano systems to molecular biology and to information science.

The aim of this conference is to present recent results in p-adic mathematical physics, related fields, and applications, as well as to discuss earlier results and possible future directions of investigation."

Summer School on Dynamical Systems and Number Theory, Graz, July 9–13, 2007

This summer school is organised as a part of the National Research Network "Analytic Combinatorics and Probabilistic Number Theory" supported by the Austrian Science Foundation.

The purpose of the summer school is to introduce and enlighten the powerful interplay between dynamical systems and number theory. The four courses focus on different recent research developments in that direction. The summer school is therefore designed for PhD students and young Post-Docs with some background in ergodic theory and number theory.

International Workshop on Zeta Functions in Algebra and Geometry, June 25–29, 2007, Segovia, Spain

Workshop on Number Theory and Random Phenomena, March 26–30, 2007, Heibronn Institute, Bristol, UK

Austrian National Research Network: Analytic Combinatorics and Probabilistic Number Theory

L-functions, ranks of elliptic curves, and random matrix theory, Banff International Research Station, 8–13 July, 2007

French-Japanese Workshop on zeta functions: Methods of meromorphic continuations, study of zeros and special values, Université de Caen, November 30 and December 1, 2006

Conference on Zeta Functions, September 18–22, 2006, Moscow

Number Theory and Harmonic Analysis: to and fro, 15–17 June, 2006, Université de Lille, France

"Modular Forms and String Duality", Banff International Research Station, June 3–8, 2006

"Physical duality symmetries relate special limits of the various consistent string theories (Types I, II, Heterotic string and their cousins, including F-theory) one to another. By comparing the mathematical descriptions of these theories, one reveals often quite deep and unexpected mathematical conjectures. The best known string duality to mathematicians, Type IIA/IIB duality also called mirror symmetry, has inspired many new developments in algebraic and arithmetic geometry, number theory, toric geometry, Riemann surface theory, and infinite dimensional Lie algebras. Other string dualities such as Heterotic/Type II duality and F-Theory/Heterotic string duality have also, more recently, led to series of mathematical conjectures, many involving elliptic curves, K3 surfaces, and modular forms. Modular forms and quasi-modular forms play a central role in mirror symmetry, in particular, as generating functions counting the number of curves on Calabi-Yau manifolds and describing Gromov-Witten invariants. This has led to a realization that time is ripe to assess the role of number theory, in particular, that of modular forms, in mirror symmetry and string dualities in general.

One of the principal goals of this workshop is to look at modular and quasi-modular forms, congruence zeta-functions, Galois representations, and L-series for dual families of Calabi-Yau varieties with the aim of interpreting duality symmetries in terms of arithmetic invariants associated to the varieties in question. Over the last decades, a great deal of work has been done on these problems. In particular it appears that we need to modify the classical theories of Galois representations (in particular, the question of modularity) and modular forms, among others, for families of Calabi-Yau varieties in order to accommodate "quantum corrections"."

School on Number Theory and Random Matrix Theory, May 30–June 3, 2006, University of Rochester

Advances in Number Theory and Random Matrix Theory, June 5–8, 2006, University of Rochester, USA

"Arithmetic Aspects of Random Matrices and Quantum Chaos", University of Bordeaux, 24–28 April 2006

"One of the goals of this conference is to allow specialists of the various themes involved in the study of random matrices and quantum chaos (not necessarily from the arithmetic point of view) to interact and exchange ideas. For this purpose, the number of talks is voluntarily limited. Two short courses are also intended to allow students at the graduate level to discover these subjects.

The main emphasis this year will be Quantum Chaos, with a sub-theme of ergodic-theoretic ideas and methods, but arithmetic applications of random matrices will also appear in some of the lectures."

UK-Japan Winter School: Dynamics and Arithmetics, Organized by Keio University COE21 in cooperation with University College Cork, Department of Mathematics and University of Warwick, Mathematics Research Centre Nowton Court, Bury St Edmunds, 8–12 January 2006

International Conference on "Number Theory and Mathematical Physics", Srinivasa Ramanujan Centre, Kumbakonam, India, 20–21st December 2005

Workshop: "Traces in Geometry, Number Theory and Quantum Fields", Max Planck Institute, October 24–28, 2005

2nd International Conference on p-Adic Mathematical Physics, 15–21 September 15–21, 2005, Belgrade, Serbia and Montenegro

International Conference on Probability and Number Theory 2005, June 20–24, 2005, Kanazawa, Japan

Workshop on Number Theory and Random Matrix Theory, June 1–3, 2005, Waterloo, Canada

Workshop on p-adic Dynamics, May 14–16, 2005, Wesleyan University, Middletown, Connecticut, USA

Theory of the Riemann Zeta and Allied Functions, Oberwolfach, September 19–25, 2004   [conference report]

Workshop on Harmonic Analysis and Number Theory, September 18–20, 2004, University of Exeter, UK

Workshop on Noncommutative Geometry and Number Theory II, June 14–18, 2004, Max Planck Institute, Bonn (Organizers - A. Connes, C. Consani, Yu. Manin, M. Marcolli)

"Zeta functions: geometrical, analtyic and diophantine aspects", Université de Caen, 14–16 June, 2004

Dynamical Systems and Diophantine Approximation, June 7–9, 2004, Institut Henri Poincaré, France

"Recent Perspectives in Random Matrix Theory and Number Theory", Isaac Newton Institute of Mathematical Sciences, Cambridge, UK, 29 March – 8 April 2004

"The connection between random matrix theory and the zeros of the Riemann zeta function was first suggested by Montgomery and Dyson in 1973, and later used in the 1980's to elucidate periodic orbit calculations in the field of quantum chaos. Just in the past few years it has also been employed to suggest brand new ways for predicting the behaviour of the Riemann zeta function and other L-functions. Notwithstanding these successes there has always been the problem that very few researchers are well-versed both in number theory and methods in mathematical physics. The aim of this school is to provide a grounding in both the relevant aspects of number theory, and the techniques of random matrix theory, as well as to inform the students of what progress has been made when these two apparently disparate subjects meet. "

This is linked with the Isaac Newton Institute programme:

"Random Matrix Approaches in Number Theory", 26 January – 16 July 2004

"For thirty years there have been conjectured connections, supported by ever mounting evidence, between the zeros of the Riemann zeta function and eigenvalues of random matrices. One of the most famous unsolved problems in mathematics is the Riemann hypothesis, which states that all the non-trivial zeros of the zeta function lie on a vertical line in the complex plane, called the critical line. The connection with random matrix theory is that it is believed that high up on this critical line the local correlations of the zeros of the Riemann zeta function, as well as other L-functions, are the same as those of the phases of the eigenvalues of unitary matrices of large dimension taken at random from the CUE ensemble of random matrix theory. More recently, however, it was realized that random matrix theory not only describes with high accuracy the distribution of the zeros of L-functions, but it is also extremely successful in predicting the structure of various average values of L-functions that previous number theoretic techniques had not been able to tackle.

The programme will mainly focus on how random matrix theory can further contribute to unanswered questions in number theory and on how to put the connection between random matrices and number theory on a rigorous footing. However, both random matrix theory and number theory individually play significant roles in theoretical physics and probability: random matrix statistics appear in the spectra of quantum systems whose classical limit is chaotic; the problem of quantum unique ergodicity has connections with the theory of modular surfaces and algebraic number theory; many of the main results on the statistics of ensembles of random matrices have been the work of probabilists; the Riemann zeta function even shows up in the theory Brownian motion - and this is just to name a few. These themes will also be developed through focused workshops.

The main goal of this programme is to draw on the expertise of these diverse groups to produce new ideas on how random matrix theory can tackle important problems in number theory."

Arizona Winter School 2004 - "Number Theory and Physics", The University of Texas at Austin, March 13–17, 2004

Arithmetic Quantum Chaos, 23–24 January 2004, Département de Mathématiques, Université Montpellier, France

"Arithmetic Quantum Chaos" is a research area at the cross-roads of differential geometry, ergodic theory, harmonic analysis, mathematical physics, and number theory. This session of the MAT Seminar will focus on important recent progress in this area and will consist of two series of introductory lectures given by experts in the field, with the goal of showing that quantum chaos hides a deep harmony at its core.

The first series of lectures will focus on several aspects of the spectrum of Riemann surfaces - on the one hand, the existence and the reparition of eigenvalues of the laplacian operator, and on the other hand, the properties of its eigenfunctions (behavior with respect to a quasiconformal deformation, properties of equirepartition when the eigenvalue goes to infinity, ...). The main focus will be on the case of surfaces of "arithmetic" type for which ergodic methods, as well as methods coming from the theory of automorphic forms and analytic number theory, have been able to make spectacular progress and to prove (at least in the arithmetic case) several of the main conjectures from quantum chaos theory.

The second series of lectures will be devoted to random matrices. Introduced by E. P. Wigner as a way of modelling the resonances of an heavy (atomic) nucleus, this theory has - thanks to the works of Montgomery and more recently Katz/Sarnak - found applications in the understanding of the zeros of L-functions.

The most important of these, of course, is the Riemann zeta function. But the model becomes especially significant when we consider general families of L-functions of automorphic forms. We then get a coherent scaffold of conjectures on the structure of the zeros, as well as special values, of L-functions. Many of these conjectures have been confirmed by numerous experimental and theoretical results."

The First International Conference on p-adic Mathematical Physics, Steklov Mathematical Institute, Moscow, Russia, October 1–5, 2003

p-Adic mathematical physics is a quickly developing area with numerous applications in different fields ranging from quantum theory to disordered and chaotic systems to molecular biology and to information science.

The aim of this conference is to present recent results in p-adic mathematical physics, related fields, and applications, as well as to discuss earlier results and possible future directions of investigation.

Contributions will be solicited in the research areas including:

Proceedings of the conference will be published in the special issue of the Proceedings of the Steklov Mathematical Institute.

Organizing Committee: B.Dragovich (Yugoslavia), A.Khrennikov (Sweden), A.N.Kochubei (Ukraine), S.V.Kozyrev (Secretary, Russia), V.S.Vladimirov (Co-Chairman, Russia), I.V.Volovich (Co-Chairman, Russia)

Titles and abstracts can be submitted to: Scientific Secretary Dr. S.V.Kozyrev: <>. Further information is available on the website which is currently under construction:

Noncommutative aspects of number theory: Developments and perspectives in noncommutative number theory, August 28th - September 5th, 2003, University of Durham, UK

Workshop on Noncommutative Geometry and Number Theory, August 18–22, 2003, Max Planck Institute, Bonn

JAMI Conference on "Primes and knots", March 7–16, 2003, Johns Hopkins University, Baltimore, USA

Frontiers in Number Theory, Physics and Geometry, École de Physique, Les Houches (in the French Alps), 10–21st March 2003. [proceedings]

This follows an earlier "number theory and physics" conference held in the same location in March 1989.

Workshop on Zeta-functions and Associated Riemann Hypotheses, 29 May – 2 June 2002, Courant Institute of Mathematical Sciences, New York University.

Martin Huxley's summary of the New York conference.
Martin Huxley's limericks based on the conference.

Workshop on Maass wave forms, Selberg zeta function, and spin chains, June 10–14, 2002, Max Planck Institute, Bonn

Number Theory and Probability Theory, 29–31 October 2001, Kyushu University, Japan

Theory of the Riemann Zeta and Allied Functions, 16–22 September 2001, Oberwolfach.

Zeta Functions, Random Matrices and Quantum Chaos Workshop, Bristol, UK, 13–14 September 2001. Speakers include Brian Conrey, Peter Sarnak, Nina Snaith, Zeev Rudnick and Andrew Odlyzko.

Random Matrices Conference, MIT, 12 August 2001.

Riemann's Zeta Function - Swiss Mathematical Society Spring Meeting. Université de Neuchâtel, 7–9 June 2001.

DMV Seminar on The Riemann Zeta Function and Random Matrix Theory, Mathematisches Institut Oberwolfach, Germany – 15–21 October, 2000.

AMS conference: Mathematical challenges of the 21st Century – Mathematics of the Physical World, UCLA – 7–12 August, 2000

Workshop: Harmonic Analysis and Zeta Functions, University of Gottingen – 22–26 May, 2000

Workshop on the Interface of Probability and Number Theory, University of Illinois, May 19/20, 2000

DIMACS Workshop on Unusual Applications of Number Theory, January 10–14, 2000, DIMACS Center, Rutgers University, USA

Ergodic Theory, Geometric Rigidity and Number Theory 5 January–7 July, 2000, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK

Theorie de Nombres, Bruit des Frequences et Telecommunications, Institut Henri Poincare, Paris – 3/4 December 1999

University of Aarhus conference on Number Theory and Spectral Theory – 3/4 December 1999

MSRI conference Random Matrices and Their Applications: Quantum Chaos, GUE Conjecture for Zeros of Zeta Functions, Combinatorics, and All That, June 7–11, 1999
(streaming video footage of many of the lectures given is available here)

Noise, Oscillators and Algebraic Randomness: From Noise in Communication Systems to Number Theory – April 5–10, 1999, Chapelle des Bois, France.

ESI Vienna 1998 conference on the Riemann zeta function

Number Theory and its Applications – November 10–14, 1997, Research Institute of Mathematical Sciences, Kyoto University, Japan

Workshop on Enumeration and Zeta-Functions, December 4–6, 1997, University of Lille

Emerging Applications of Number Theory – 1996 IMA Summer Program

The Unreasonable Effectiveness of Number Theory – AMS Symposium, University of Maine, 1992

Number Theory and Physics – Winter school, Les Houches, France, March 7–16, 1989

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