Slides
Dix ans après | These are the notes for a talk at the conference in honor of R. Heath-Brown's 70th birthday, held in Oxford in July 2023; it is a general history and survey of the work around trace functions, which started around 2011/2012 and was first presented in September 2012 in the conference for his 60th birthday. (There was a final part of the talk on the white boards, which is not represented in the slides.) |
The problem of coincidences, revisited | These are the notes for a talk at the conference in honor of A. Granville's 60th birthday, held in Montréal in September 2022. Here is the French version. |
Fourier analysis over commutative algebraic groups and Frobenius distribution | These are the notes for a talk at a conference on topics related to Frobenius distribution, organized by A.C. Cojocaru and F. Fité in June 2021. Like the previous one, the topic is related to my ongoing joint work with A. Forey and J. Fresán. |
Exponential sums over finite fields | These are the notes for my invited lecture at the European Congress of Mathematics in June 2021. The topic is related to my ongoing joint work with A. Forey and J. Fresán concerning convolution and equidistribution over general commutative algebraic groups. |
Remembrances of polynomials values: Fourier's way | These are the notes of a lecture in the Wisconsin Number Theory Seminar in March 2021, concerning ongoing joint work with K. Soundararajan (related, but different, from that in the January IST talk below). |
Exponential sums, Sidon sets and tannakian categories | These are the notes of my lecture in the conference in honor of the 70th birthday of R. Balasubramanian ("Balu"). Like the FRG one, the topic is my ongoing joint work with A. Forey and J. Fresán on equidistribution for exponential sums parameterized by characters of a commutative algebraic group. |
Twisted multiplicativity and exponential sums | These are the notes of a lecture at the IST Number Theory Seminar in January 2021, concerning ongoing joint work with K. Soundararajan; we expect to have a preprint available soon... |
Equidistribution of L-functions modulo squarefree polynomials and applications | These are not really slides, but the notes (written on a tablet) of a talk in a Focus Research Group seminar at AIM on October 13, 2020; they present some of my ongoing joint work with A. Forey and J. Fresán (and also partly with W. Sawin) to generalize to arbitrary commutative group schemes the equidistribution theorem of Katz for the discrete Mellin transform on the multiplicative group. In fact, most of the talk concerns some of the applications, since these are the most relevant for the audience of the talk. |
The work of R. P. Langlands | These are the slides for my talk presenting the work of Langlands during the SMG Abel Prize Day, on September 25, 2020. |
Quantitative sheaf theory, d'après Sawin | These are the slides for a talk in the Oberwolfach conference "Automorphic forms and arithmetic", in September 2020. |
Equidistribution from the Chinese Remainder Theorem | These are the slides for a talk in Zeev Rudnick's Zoom seminar, April 23, 2020. |
Randonnée arithmétique | These are the slides for my talk at the Colloquium of the Institut Élie Cartan in Nancy, in January 2020. |
Random / not Random | These are the slides for my talk at the 2019 Heilbronn annual conference. |
Les graphes, un autre univers en expansion | Il s'agit de la présentation correspondant à mon exposé à la Bibliothèque Nationale de France le 20 Février 2019, dans le cadre du cycle «Un texte, un mathématicien» organisé par la BNF et la SMF, en partenariat avec Animath et la revue Tangente. L'exposé était consacré à Kolmogorov et à son article avec Barzdin où apparaissent les graphes expanseurs; la vidéo est disponible ici. |
Some functional limit theorems in number theory | These are the slides for the fourth Strasbourg-Zürich analysis and probability meeting, November 3, 2016. |
A geometric interpretation of additive problems for primes | These are the slides for the day of algebraic and arithmetic geometry, May 20, 2016, in Berlin. |
The shape of exponential sums | These are slides for the conference in honor of N. Katz's 71st birthday that was held in Beijing in May 2015. |
Graphes expanseurs | These are slides for the "Exposé Scientifique" I gave at the École Polytechnique on April 9, 2015. There is also an English version. |
The geometry and probability of exponential sums | These are slides for Geneva Colloquium talk I gave on November 6, 2014. |
A study in sums of products | These are slides for the Chicheley Hall Royal Society meeting on Function Fields and Number Fields, organized by J. Keating, Z. Rudnick and T. Wooley in May 2014. |
Some local limit theorems in probability and number theory | These are the slides of a talk at the conference in honor of F. Delbaen's 60th birthday, held at ETH Zürich in September 2012. |
Some recent applications of expanders in number theory | These slides were written for the special session on Expander Graphs, organized by A. Lubotzky and A. Salehi-Golsefidy at the Joint Mathematical Meeting in January 2011. |
Families of L-functions and cusp forms | These rather informal slides accompanied my talk to the conference in honor of R. Bruggeman's 65th Birthday, in June 2009. |
Some aspects and applications of the Riemann Hypothesis over finite fields | These are the slides of my talk for the Verbania Conference on the Riemann Hypothesis in April 2009. |
Les nombres premiers | In March 2009, I gave a short lecture on prime numbers for the participants of the Swiss Mathematical Olympiad. The corresponding slides are in French. |
An introduction to Magma | In October 2008, I gave a talk explaining some use of Magma so computer the equation of an integral polynomial with splitting field having Galois group isomorphic to the Weyl group of the exceptional group E_{8}. The slides explain this as well as some basic Magma syntax and use. |
The large sieve and L-functions over finite fields | These slides are rather older, dating to the time I was in Bordeaux, and correspond to a talk given at a special session of the joint meeting of the French and Italian mathematical societies in Torino in July 2006. |
Last update 28.7.2023 by E. Kowalski