This photo is a subset of the total of 11 CMS 2019 Second Inaugural Class of Fellows who attended the CMS Winter Meeting Awards Banquet in Toronto on December 8, 2019. The 11 CMS 2019 Second Inaugural Class of Fellows: Louigi Addario-Berry (McGill), James G. Arthur (Toronto), Karl Dilcher (Dalhousie), George A. Elliott (Toronto), Joel Feldman (UBC), Neal Madras (York), Javad Mashreghi (Laval), Ján Mináč (Western), Monica Nevins (Ottawa), Bruce L. R. Shawyer (retired), and Cameron L. Stewart (Waterloo). What a wonderful privilege it is to be learning from and inspired by my 2019 CMS Fellow colleagues.
Some of these awesome students from this remarkable class are holding Galois symmetry toys. Galois theory is very deep, beautiful, and important, and at the same time it provides a sandbox where we adult children can play.
Recipient of a Faculty of Science Distinguished Research Professorship 2020-2021.
Here is a joint survey paper written with Sunil Chebolu and Dan McQuillan, with illustrations by Matthew Teigen. It was great fun to work on this paper, and we only hoped that it would also be interesting and stimulating for the reader as well. It has been therefore rewarding to receive some very nice responses from our colleagues related to this paper.
Short C.V. (updated April 27, 2020)
THE BRAIN AND MIND INSTITUTE:
Among my most recent interests belongs a strong additional research interest in the application of mathematics to the study of the brain. Fortunately at Western University we have the awesome Brain and Mind Institute. I am very excited about this new direction of my research which seems to have endless possibilities.
CROSS-APPOINTMENT - COMPUTER SCIENCE DEPARTMENT:
I am cross-appointed in the Computer Science Department. Here is a link.
(11 mathematicians can make a full soccer team. As a passionate mathematician and soccer player, this makes me very happy!)
Elected to serve in the Western University Senate, beginning July 1, 2020.
M. Daley, J. Mináč, L. E. Muller, and B. Wang are beginning to build a Galois symmetry science centre at Western. I plan to expand on this quite soon. Please stay tuned.
I am very pleased to be planning to be a co-supervisor with Lyle E. Muller and Boyu Wang, of four exceptional Summer 2020 applicants for NSERC Undergraduate Student Research Awards. We are very pleased to be able to plan this work with such gifted and enthusiastic and highly motivated student applicants: Abetare Marevci, Alexandra Busch, Emma Tetelbaum, and Jake Nemiroff. This is a great opportunity and we are very excited about the possibilities for this joint interdisciplinary research which is being carried out in the Departments of Mathematics, Applied Mathematics, the Brain and Mind Institute, Computer Science, and Physics and Astronomy.
I am passionately dedicated to the promotion of diversity, equality and inclusion. This is a difficult but very important struggle.
(Photo by Zuzana Mináčová)
Three of my PhD students completed their studies in 2019, therefore I am looking for new, enthusiastic and dedicated students. I am also looking for further postdoctoral fellows.
Here at Western University in the Department of Mathematics, we have a wonderful, vital, enthusiastic team that is working feverishly on unveiling some of the exciting secrets of Galois theory and related topics in number theory, algebraic geometry, algebraic topology, analysis and geometry.
The considered topics are fascinating, and they range from classical to the most modern. There is strong collaboration with various mathematicians at Western, as well as worldwide.
Federico W. Pasini (2019-20: co-supervised with M. Daley and L. E. Muller, and further consultation with a number of additional great experts. 2020: co-supervised with L. E. Muller and B. Wang, and collaboration with M. Daley).
Michael Rogelstad - Researcher
Priya Bucha Jain (Western University, to be co-supervised with Professor Lyle E. Muller).
Esther Yartey (African Institute for Mathematical Sciences, to be co-supervised with Professor Lyle E. Muller).
(The planned work with these awesome students and Professors Christian Maire, Lyle E. Muller, and others, is an extremely exciting and promising event in our interdisciplinary group of Galois theory in Mathematics and in Science.)
It is a great pleasure to welcome to Western the arrival of yet another awesome new master's student, Peter Stevens. Welcome, Peter! I'm honoured, privileged and thrilled to have the opportunity to also supervise Peter, and to add to our enthusiastic team.
Béatrice Chetard - Postdoctoral Fellow, Stanford University, beginning September 2019)(Defence: June 2019; supervised by P. Guillot (University of Strasbourg) and J. Mináč)
Marina Palaisti - Assistant Professor, Huron University College (Defence: March 2019; supervised by J. Mináč)
Daniel McQuillan - Former PhD student and currently a Charles A. Dana Professor of Mathematics at Norwich University (since 2017).
Math 3152A - Combinatorial Mathematics (course outline)
Math 3150B - Elementary Number Theory (course outline)
Math 3121A / 9050A - Advanced Linear Algebra (course outline)
Banff International Research Station Workshop on Nilpotent Fundamental Groups, June 18 - 23, 2017. Organizers: J. Mináč, F. Pop, A. Topaz and K. G. Wickelgren.
Here is a link to a short video abstract about my paper with Nguyễn Duy Tân, entitled: Counting Galois U4(Fp)-extensions using Massey products, which is published in J. Number Theory (see (6) in the list of 2017 publications above).
Here is a nice paper entitled: Étude Kummerienne de la q-suite Centrale Descendante d'un Groupe de Galois, by Professor T. Nguyen Quang Do, related to my joint work with S. K. Chebolu, I. Efrat, and M. Spira; as well as to the work of R. Sharifi and others. (Please allow a minute or so to load this document for viewing.) Here is a faster link going directly to this paper.
Here is another nice paper by Professors F. Bogomolov and Y. Tschinkel entitled: Introduction to birational anabelian geometry in Current Developments in Algebraic Geometry (L. Caporaso, J. McKernan, M. Mustata, M. Popa, editors), pages 17-63, MSRI Publications, Volume 59, Cambridge University Press, 2012. (This is a great description of this exciting area, and it includes some of my work with S. K. Chebolu and I. Efrat.)
In the paper, Multiquadratic extensions, rigid fields and Pythagorean fields, D. Leep and T. L. Smith obtained some rather elegant, new proofs of some theorems which I published with A. Adem, W. Gao and D. Karagueuzian in 2001; and also with T. L. Smith in 2000.
Algebraic Number Theory, Galois Cohomology, Quadratic Forms, Field Theory, Brauer Groups, Algebraic K-Theory, Algebraic Geometry, and Algebraic Topology.
The Bloch-Kato conjecture, quadratic forms, Galois groups and Galois cohomology, Grothendieck's anabelian geometry, zeta functions, analytic pro-p groups, algebraic K-theory, cohomology of finite p-groups, Galois groups of maximal p-extensions with a given set of ramification points, the stable homotopy category, and Freyd's generating hypothesis. I am also very interested in both the finite generation of Tate cohomology and Lie algebras associated with Galois groups.
I am also interested in Massey products, formality-like properties and Koszul properties of Galois cohomology, arithmetic geometry, Hodge theory, the section conjecture, the Langlands program, motivic cohomology, pefectoids, moduli spaces, Galois modules, and representation theory.
Recently I began together with my collaborators to investigate some novel approaches of mathematics to medicine.
Here are some cool and interesting survey papers on some elementary aspects of the values of the zeta function, where the authors also refer to my observation (A Remark on the Values of the Zeta Function, Expo. Math. 12 (1994), 459-462):
Artist: Nikita Maria Findlay
Here above is a link to MaCAW with some awesome graduate students with some great enthusiasm, excitement, and always interesting activities. I feel very privileged to work with some of them closely.
With Vaclav Havel (former President of the Czech Republic) at the 2006 Karlovy Vary International Film Festival.
With Nastassja Kinski at the Karlovy Vary International Film Festival.
PUBLISH OR PERISH! This is a reconstruction of the closing scene from a mathematical theatrical lecture, Hamlet and Pfister Forms, performed at the mathematical institute in Oberwolfach, Germany, 1992 (Ján Mináč and Leslie Hallock).
Here is a link to a recent Western News article by author Debora Van Brenk, about a happy mathematician seeking solutions in symmetry.
Here is a link to a Western News page with "News and Notes".
Here is a link to a Western News page by various authors, about "Science Honours its Own".
Here is a link to a Western News page about the University Students' Council awards honouring teachers and students.
Here is a link to a Western News article by author Jason Winders, about the Canadian Mathematical Society 2013 Excellence in Teaching Award.
Here is a link to a 2013 media release from the Canadian Mathematical Society about the teaching award mentioned above.