Jan Minac
Field Theory class March 31, 2009
Jan Minac
Exploring the jungle of Galois groups Artist: Nikita Maria Findlay
Jan Minac Jan Minac
Sherlock Holmes Mathematical Theater at The University of Western Ontario 2008 With Vaclav Havel
Jan Minac Jan Minac
A U-invariant on the Roof  A U-invariant on the Roof 


  • 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 U4(Fp)-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.
  • 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 will appear in the Journal of Number Theory in 2017.
  • Here is another nice paper by Professors Fedor Bogomolov and Yuri 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 Vol. 59, Cambridge University Press, (2012). This is a great description of this exciting area, and it includes some of my current work with S. Chebolu and I. Efrat.
  • Here is a link to three talks delivered by Adam Topaz at the exciting University of Pennsylvania Galois Seminar 2009-2010 and 2012-2013. The first two talks delivered in 2009 concern my paper co-authored with S. Chebolu and I. Efrat, published in Math. Ann. ("Quotients of absolute Galois groups which determine the entire Galois cohomology", Volume 352 (2012), no. 1, 205-221) which at the time of these talks was not yet published, but was posted on the arXiv. The second talk (November 4, 2009) is available on video, and the third talk (November 2, 2012) is concerning my joint work with Adam Topaz and John Swallow, and its subsequent continuation with Adam. The first paper is on the arXiv and the second paper is 'work in progress'.

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

    Research interests:

    Bloch-Kato conjecture, quadratic forms, Galois groups and 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 given set of ramification points, stable homotopy category and Freyd's generating hypothesis. I am also very interested in both finite generation of Tate cohomology and Lie algebras associated with Galois groups.

    PUBLICATIONS (For some possible updates, please see my C.V. above.)   Here are two more direct 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)):


    WINTER 2017:
Jan Minac
An Omnibus
    Math 9414b - Class Field Theory --- Office Hours: 4:00 p.m. - 5:00 p.m. Tuesdays, MC 131 (plus meetings at Einstein's, walks, and surprising encounters).
    WINTER 2016:
    Math 2124b - Introduction to Mathematical Problem Solving (plenty of fun!) --- Course Outline
    Math 2124b - Introduction to Mathematical Problem Solving -- Office Hours: Wednesdays, 4:00 p.m. to 5:00 p.m., MC 131 in the Middlesex College rotunda.
    Math 2124b - Introduction to Mathematical Problem Solving -- April Office Hours and Help Centres:
  • Wednesday, April 13th, 4:00 p.m. - 7:00 p.m., MC room 108
  • Wednesday, April 20th, 4:00 p.m. - until not needed, MC room 108

    FALL 2015:
    Math 9413a - Milnor K-Theory --- COURSE BEGINS --- September 21, 2015, Mondays and Wednesdays, 1:00 p.m. to 2:30 p.m., MC room 108.

    WINTER 2015:

    Math 2124b - Introduction to Mathematical Problem Solving --- Course Outline
    Math 2124b - Introduction to Mathematical Problem Solving --- Office Hours:   4:30 pm to 5:30 pm Wednesdays in MC room 131 or by appointment.   But I'm also using the large, lovely university campus as my other office, and I'm very happy to help when you need help.
    Math 2124b - Introduction to Mathematical Problem Solving --- First Homework

    Math 3150b - Elementary Number Theory --- Office Hours:   4:30 pm to 5:30 pm Wednesdays in MC room 131 or by appointment.   But I'm also using the large, lovely university campus as my other office, and I'm very happy to help when you need help.
    Math 3150b - Elementary Number Theory --- Correction: Suggested Exercises in Preparation for the Final Exam --- In Exercise 3, assume that p is at least 7.
    SOME NICE NUMBER THEORY LINKS (with warmest thanks to our wonderful T.A.!):


    Math 1120b - Fundamental Concepts in Math Homework (February 13):
    Homework misprint: An obvious misprint managed to sneak into this second homework, namely in Exercise 6 in Example One, the 1 of the first row of the representing function f should be 2!
    Homework correction: I am very grateful to Awasung who pointed out that in Exercise 7a, k can also be zero (not just a natural number). Thank you, Awasung!
    Homework misprint (one more): Misprints in mathematical texts can be as annoying as mosquitoes disturbing idyllic moments. I am grateful to Tyson for pointing out that in Exercise 6 s could be any integer ∈ Z (not necessarily just 0 or in N).
    Math 1120b - Fundamental Concepts in Math Course Homepage (kindly prepared by Tyson Davis)
    FALL 2011:

    Faculty of Education workshop - November 30, 2011, Althouse College. (Invited by Professor Immaculate Kizito Namukasa, workshop organizer.) Session on Teaching Math and Science through Story, Drama and Song, organized by Dr. George Gadanidis. Workshop led by Ján Mináč: "Hands-On Activities on Integrating Theatre in High School Mathematics Teaching".

    2013 and 2010:

    Before 2010:

Editorial Work

American Mathematical Society

    Member of the American Mathematical Society Committee for Human Rights of Mathematicians (2012-2015)

ALL Algebra Seminar lectures take place in Middlsex College room 107, unless otherwise indicated.

Masoud Khalkhali (Western University)"Ricci curvature, spectral zeta functions, and heat trace invariants" (postponed) Friday, January 27, 2017
Chris Hall (Western University)"d-matchings polynomials" Friday, February 10, 2017
Hadi Seyedinejad (Western University)"Effective extensions of the ring of polynomials in real algebraic geometry" Friday, February 17, 2017
Adam Chapman (Tel-Hai Academic College)"Linked fields of Characteristic 2 and their u-invariant" Friday, March 1, 2017
Matthias Franz (Western University)"Symmetric products of maximal varieties" Friday, March 10, 2017
Chris Kapulkin (Western University)"Cryptographic multilinear maps" Friday, March 31, 2017 (postponed)
Tristan Freiberg (University of Waterloo)"Distribution of sums of two squares" Friday, April 7, 2017
Vaidehee Thatte (Queen's University)"Ramification theory for arbitrary valuation rings in positive characteristic" Friday, April 12, 2017, MC room 108
Marine Rougnant (Université de Franche-Comté)"On the propagation of the mildness property along some imaginary quadratic extension of ℚ" Friday, April 28, 2017




Masoud Ataei JALISEH -- Ph.D. completed 2015 (joint supervision with Éric Schost)
Javad DOLISKANI -- Ph.D. completed 2015 (joint supervision with Éric Schost)
Michael ROGELSTAD -- Ph.D. completed 2015
Claudio QUADRELLI -- Ph.D. completed 2014 (joint supervision with Thomas Weigel)
Fatemeh Bagherzadeh GOLMAKANI -- Ph.D. completed 2014 (joint supervision with Matthias Franz)
Priyavrat DESHPANDE -- Ph.D. completed 2011 (joint supervision with Graham Denham)
German COMBARIZA -- Ph.D. completed 2010 (joint supervision with Alejandro Adem)
Vahid SHIRBISHEH -- Ph.D. completed 2007(additional supervision of Vahid carried out by A. Dhillon and N. Lemire (2006-7) and M. Khalkhali (2003-5))
Ganesh BHANDARI -- Ph.D. completed 2005
Dan McQUILLAN -- Ph.D. completed 1998
Wenfeng GAO -- Ph.D. completed 1996


    Robert LIBMAN (beginning September 2015)

    Majed ALBAITY (M.Sc. completed 2013)

    Mohammed ALTHAGAFI (M.Sc. completed 2012)

    Michal ČIŽEK (M.Sc. completed summer 2014)

    Behzad NIKZAD (M.Sc. completed 2012)

    Claudio QUADRELLI (M.Sc. completed 2010) (joint supervision with Thomas Weigel)

    John SEWCHAND (M.Sc. completed 1997)

    John SHERIFF (M.Sc. completed 1991)
    Saied SORKHOU (M.Sc. completed 2015) (joint supervision with Lex Renner)
    Saied SORKHOU (2014-2015)

    Michal ČIŽEK (2012-2015)

Claudio Quadrelli (visiting undergraduate scholar under joint supervision with Professor Thomas Weigel, Università degli Studi di Milano-Bicocca)
Scholar's Electives Program students 2009-2010: Behzad Nikzad Scholar's Electives Program students 2010-2011: Joanne Colling
Janusz Adamus Alejandro Adem Luchezar L. Avramov Vikram Balaji Paul Balmer Ngô Bau Châu Alexander Beilinson
Dave Benson Ganesh Bhandari Manjul Bhargava Fedor A. Bogomolov Enrico Bombieri Jon F. Carlson Gunnar Carlsson
Sunil Chebolu Dan Christensen Fred Cohen Jean-Louis Colliot-Thélène Alain Connes Henri Darmon Pierre Deligne
Graham Denham Ajneet Dhillon Vladimir G. Drinfeld David Eisenbud Ido Efrat Ivan Fesenko Matthias Franz
Edward Frenkel Eric Friedlander Tony Geramita Stefan Gille Richard Gonzales Andrew Granville Pierre Guillot
Richard M. Hain Dan Haran David Harbater Detlev Hoffmann Michael Hopkins Mark Hovey Moshe Jarden
Rick Jardine Lila Kari Nikita Karpenko Nicholas M. Katz Louis Kauffman Masoud Khalkhali Maxim Kontsevich
Boris Kunyavskii John Labute Tsit Yuen Lam Robert Langlands Nicole Lemire Hendrik W. Lenstra James Lewis
Elon Lindenstrauss Alexander Lubotzky Yuri Manin Guillermo Arturo Mantilla Soler Barry Mazur Dan McQuillan Alexander Merkurjev
John Milnor Maryam Mirzakhani Kumar Murty Ram Murty Danny Neftin Jan Nekovář Raman Parimala
Julia Pevtsova Florian Pop Gopal Prasad Andrew Ranicki Zinovy Reichstein Lex Renner Ken Ribet
David Riley Markus Rost Karl Rubin Shuji Saito Peter Sarnak Alexander Schmidt Éric Schost
Andrew Schultz Jean-Pierre Serre Alexandru I. Suciu Andrei Suslin John Swallow Nguyen Duy Tan Terence Tao
John Tate Stefan Tohaneanu Adam Topaz Yuri Tschinkel Ravi Vakil Alexander Vishik Vladimir Voevodsky
Adrian Wadsworth Michel Waldschmidt Charles Weibel Thomas Weigel Kirsten Wickelgren Andrew Wiles Kay Wingberg
Kirill Zainoulline Efim Zelmanov

Here is my address:

Ján Mináč
Western University
Department of Mathematics
Middlesex College
London, Ontario, Canada N6A 5B7

Here is a link to the Department of Mathematics at Western University.

Telephone: 519-661-2111 x 86519
Fax: 519-661-3610

E-mail: minacw at uwo dot caw (remove the two "w"s before using)

wordpress counter