á Department of Mathematics Department of Mathematics Western University Science Logo

Ján Mináč

 

Field Theory class March 31, 2009Field Theory Class March 31, 2009


RESEARCH HIGHLIGHTS AND C.V.s

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.  

Selected Updates to Curriculum Vitae for 2015-2017

Short C. V.

C. V.

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.  

CANADIAN MATHEMATICAL SOCIETY 2019 CLASS OF FELLOWS 

(11 mathematicians can make a full soccer team. As a passionate mathematician and soccer player, this makes me very happy!)


TEACHING AWARDS

Canadian Mathematical Society Excellence in Teaching Award 2013

University Students' Council and Alumni Western Teaching Award of Excellence 2009-2010

University Students' Council and Alumni Western Teaching Award of Excellence 1996-1997


DIVERSITY, INCLUSION AND EQUALITY

I am passionately dedicated to the promotion of diversity, inclusion and equality. This is a difficult but very important struggle. 

HAND-PHOTO-ZUZANA-M.jpg 

(Photo by Zuzana Mináčová)


ENCOURAGEMENT FOR APPLICATIONS FOR GRADUATE & POSTGRADUATE STUDY

My three current PhD students are planning to graduate in 2019; therefore I am looking for new, enthusiastic, dedicated students; and 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. 


RECENT SUCCESSFUL PHD STUDENT DEFENCE ACTIVITY - SPRING 2019

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)


SOME FORMER STUDENT ACTIVITY

Daniel McQuillan - Former PhD student and currently a Charles A. Dana Professor of Mathematics at Norwich University (since 2017). 


TEACHING - FALL 2019

Math 3152A - Combinatorial Mathematics (course outline)


TEACHING - WINTER 2019

Math 3150B - Elementary Number Theory (course outline)


TEACHING - FALL 2018

Math 3121A / 9050A - Advanced Linear Algebra (course outline)


PERSONAL HOMEPAGE (under construction)


RESEARCH

RELATIVELY RECENT PUBLISHED OR SUBMITTED PAPERS 2015-2019:


RESEARCH AWARDS AND SPECIAL RECOGNITION:

Faculty of Science Distinguished Research Professorship 2004-2005.


Canadian Mathematical Society Summer Meeting 2018, Fredericton, NB. Co-organizer, Special Session: Cohomology - a link between numbers and geometry, June 1-4, 2018


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).

Poster for an Algebra Seminar talk delivered, October 18, 2013, related to my joint work with N. D. Tân

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. 

Some more papers related to my research may be found here. (See MathSciNet for a comprehensive list of my publications.)

SELECTED INVITED ADDRESSES AND SCHOLARLY ACTIVITIES:

SPECIALIZATIONS: 

Algebraic Number Theory, Galois Cohomology, Quadratic Forms, Field Theory, Brauer Groups, Algebraic K-Theory, Algebraic Geometry, and Algebraic Topology.

RESEARCH INTERESTS:

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. 

PUBLICATIONS 

(For some possible updates to my list of publications, please see my C. V. above.) Here are two more links to arXiv.org: (1) and (2)

RESEARCH AND M.S.R.I.

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):

 

Portrait of Jan by Nikita Maria Findlay

Artist: Nikita Maria Findlay

Jan in pith helmut

Relentless pursuit of mathematical adventures


CURRENT AND RECENTLY SUPERVISED POSTDOCTORAL FELLOWS, VISITING PROFESSORS AND INTERNATIONAL STUDENTS (INCLUDING POSSIBILITIES IN THE NEAR FUTURE)


CURRENT AND RECENTLY COMPLETED DOCTORAL STUDENT SUPERVISION


CURRENT MASTER'S STUDENT SUPERVISION

thumb_images-2_1024-2.jpg


MATH CLUB AT WESTERN (MaCAW)

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.

FILM / MATHEMATICS / THE ARTS

  1. 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 the Journal of Number Theory (see (6) in the list of 2017 publications above).
  2. Here is a link to one of my mathematical theatrical lectures delivered in my course on Elementary Number Theory, with some special connections to the timeless tale of Romeo and Juliet
  3. Here is a link from IMDb to my work in the film industry. Here is a second link to IMDb with my photograph. We hope to eventually merge these two pages into one page on IMDb.
  4. Here is a link to my brother, Matej Mináč, a documentary filmmaker with whom I also work.  

 

With Vaclav Havel

With Vaclav Havel (former President of the Czech Republic) at the 2006 Karlovy Vary International Film Festival. 


PHOTO2-W-N-KINSKI-KV-CROPPED.jpg

With Nastassja Kinski at the Karlovy Vary International Film Festival. 


PUBLISH-OR-PERISH-HAMLET-PHOTO.jpg

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).


SOME MEDIA LINKS

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.