The Department of Mathematics

Middlesex College

London, ON

Canada, N6A 5B7

Tel: 519.661.3639

Fax: 519.661.3610

Undergraduate inquiries:

math-inquiry@uwo.ca

Graduate inquiries:

math-grad-program@uwo.ca

All other inquiries:

mathdept@uwo.ca

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

Canadian Mathematical Society Excellence in Teaching Award 2013

Faculty of Science Open House, March 11, 2017 - Department of Mathematics Slide Presentation

- 1) J. Mináč and N. D. Tân. Triple Massey products and Galois theory.
*J. Eur. Math. Soc. (JEMS)*19 (2017), no. 1, 255-284. - 2) J. Mináč and N. D. Tân. Construction of unipotent extensions and Massey products.
*Adv. Math.*304 (2017), 1021-1054. - 3) I. Efrat and J. Mináč. Galois groups and cohomological functors.
*Trans. Amer. Math. Soc.*369 (2017), no. 4, 2697-2720. - 4) M. Ataei, J. Mináč and N. D. Tân. Description of Galois unipotent extensions.
*J. Algebra*471 (2017), 193-219. - 5) J. Mináč and N. D. Tân. Counting Galois U
_{4}(F_{p})-extensions using Massey products.*J. Number Theory*176 (2017), 76-112. - 6) S. K. Chebolu, D. McQuillan and J. Mináč. Witt's cancellation theorem seen as a cancellation.
*Expositiones Mathematicae*35 (2017), no. 3, 300-314.

**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 U _{4}(F_{p})-extensions using Massey products*, which is published in

**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.

**This paragraph is still "under construction" --- Three talks** **were delivered by A. Topaz** at an exciting ** University of Pennsylvania Galois Seminar** in 2009-2010 and 2012-2013. The first two talks delivered in 2009 concern my paper co-authored with S. K. Chebolu and I. Efrat, published in

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

Nilpotent Fundamental Groups, June 18-23, 2017. (Organized by J. Mináč, F. Pop, A. Topaz and K. G. Wickelgren.)*Co-organizer, Banff International Research Station Workshop*:, Rutgers University.**2015 American Mathematical Society Fall Eastern Sectional Meeting**, University of Ottawa, June 8-10, 2013. Sponsored by the Fields Institute and organized by Damien Roy, University of Ottawa, and Cameron Stewart, University of Waterloo.*Workshop on Number Theory with a view towards Transcendence and Diophantine Approximation*, Carleton University, October 20-21, 2012. (Sponsored by the Fields Institute, the Ottawa-Carleton Institute for Algebra and Number Theory, and the School of Mathematics and Statistics, Carleton University.)*70th Algebra Days***IBG Advanced International School on Galois Groups**, Bilbao, Spain, July 2012.

*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.

(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).

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):

*Bernoulli Numbers and the Riemann Zeta Function,*by B. Sury*.*- The Continuing Story of Zeta, by G. Everest, Ch. Röttger and T. Ward.

*Math 3150b - Elementary Number Theory - Course Outline*

Artist: Nikita Maria Findlay

Relentless pursuit of mathematical adventures