Updated: April 2019
Teaching positions
University of Toronto Mississauga – Assistant Professor, Teaching Stream, CLTA (2019-)
Department of Mathematical and Computational Sciences
Research positions
University of Calgary – Post Doc (2017-2018)
Department of Mathematics and Statistics
Advisors: Claude Laflamme (Calgary) and Robert Woodrow (Calgary)
Education
University of Toronto – Ph.D.-Mathematics (2010-2015)
Advisors: Stevo Todorcevic (Toronto) and Vladimir Pestov (Ottawa)
Thesis: Amenability and Unique Ergodicity of the Automorphism Groups of all Countable Homogeneous Directed Graphs.
University of Toronto – M.Sc.-Mathematics (2009-2010)
Master’s Project: Infinitary Combinatorics; Advisor: Frank Tall.
Held an NSERC CGS-M during that year.
University of Winnipeg – B. Sc. (Hons)-Mathematics (2005-2009)
NSERC-USRA (Summer 2008) – Asymptotically-Invariant nets in semi-direct products of amenable groups; Advisor: Ross Stokke.
Personal Information
Research Interests – Ramsey Theory, Homogeneous Structures, Large Topological Groups, Infinite Combinatorics, Universal Groups
Languages Known (Human) – English, French, Ukrainian (Enough to get through a church service, not enough to order a drink)
Languages Known (Computer) – Python, Sage, HTML, CSS.
Citizenship – Canadian
Courses Taught
Research Papers published
Seminars and Talks Given
Invited Talks
“Some homogeneous directed graphs are strange.” December 10, 2018 – Winter CMS Meeting – Session in Honor of Dr. Robert Woodrow on the Occasion of his 70th birthday – Vancouver, Canada
“Connections between Ramsey Theory and Big Data.” Video – November 19, 2018 – Unifying Themes in Ramsey Theory – BIRS, Canada
“Data from an advanced calculus course taught using peer instruction.” – May 2, 2017 – Conference on Postsecondary Learning and Teaching – University of Calgary, Canada
“The Hrushovski Extension Property.” – December 14, 2016 – KAFKA seminar – Charles University, Czech Republic
“The Hrushovski Extension Property.” – December 7, 2016 – Ramsey DocCourse – Charles University, Czech Republic
“The Hrushovski Property for Tournaments.” – November 10, 2015 – Homogeneous Structures – BIRS, Canada
“The Hrushovski Property for Tournaments.” – October, 2015 – McGill University, Canada
Toronto Set Theory Seminar
“Amenability of Automorphism Groups of Directed Graphs from Cherlin’s List.” – April, 2015
“Amenability of some Automorphism groups of precompact Fraisse limits.” – August 23, 2014
“Finding many Hedgehogs in a G-space. Attacks on Smirnov’s problem.” – May 2, 2014
“Using T-sequences to create a robust family of topological groups.” – February 8, 2013
“Set Theoretic attacks on Itzkowitz’ Problem”- May 25, 2012
Toronto Student Set Theory and Topology Seminar (U of T organizer Summer 2011 – 2015)
“Rainbow colourings of the Rado Graph” – September 2015
“How difference sets of integers are related to my thesis problem.”- March 6, 2014 & March 13, 2014
“Using Dushnik-Miller to prove that every sigma-compact group is ccc.”- May 2, 2013
“Let’s make some T-sequences! Technical facts and sexy applications.”- January 15, 2013 & January 22, 2013
“Using Todorcevic’s $sigma^2$ functor to disprove the existence of a universal first countable compact space” – August 16, 2012
“Some things we learned about forcing this summer”, together with Chris Eagle, June 2012
“Some Facts about the Urysohn Space” – February 23, 2012 & March 15, 2012
“Tychonoff’s Theorem and the Alexander Subbase Theorem” – November 2011
“Random Real Forcing” – August 2011
“VC-dimension” – May 2011
U of T Math Graduate Student Seminar (Organizer/Pizza buyer in 2011-12)
“Equivalencies of the Axiom of Choice” – October 2010
“Asymptotically-Invariant Nets in Amenable Groups” – November 2009
Canadian Undergraduate Mathematics Conference
“Amenable Groups and Følner Nets”- July 11, 2008
“Winning Strategies in the game of Bingo” – July 20, 2007
Other Talks
“Graph Theory in the IMO” – June 2018 – Canada IMO summer camp, BIRS.
“Mathematical Invariants in the IMO” – January 2016 – Canada IMO winter camp, York University.
“Generating Functions for the IMO” – January 2015 – Canada IMO winter camp, York University.
“Measuring the (Seemingly) Impossible. An introduction to Geodesy.” – August 2014 – Classroom Adventures Lecture Series.
“How to Read, Understand and Study Proofs.” – March 31, 2014 – Because first year students have difficulty understanding proofs.
“Absolute Chaos is Impossible!” – January 17, 2014 – For the Classroom Adventures Lecture Series.
“Contest Pigeons!” – January 3, 2014 – For the 2014 Canada IMO winter camp at York University
“A Survey of Cardinal Invariants of Topological Groups“- April 19, 2013 – For Bill Weiss’ class “Set Theoretic Topology”
“A History of Cryptography for Parents“- March 24, 2013 – For parents of students writing the 2013 Kangaroo Math Contest
“Itkzowitz’ Problem – A problem of uniform continuity“- May 18, 2012 – For the Ottawa Mathematics Conference 2012
“Collaboration through Erdös Numbers“- May 17, 2012 – For the “What we talk about” lecture series
“A Negative Partition Relation for Nonspecial Trees under Martin’s Axiom” – February 28, 2012 – For Stevo Todorcevic’s class “Combinatorial Set Theory”
“The Arithmetic of Infinity” – August 2011 – Mathematics in the Classroom conference
Other Conferences and Workshops Attended
Ramsey DocCourse 2016, September-December 2016, Charles University, Prague, Czech Republic.
Forcing and Its Applications Retrospective Workshop, March 2015, Fields, Toronto, Canada.
60 years of Dow; Celebrating the Mathematics of Alan Dow, December 2014, Cornell University.
Ottawa Mathematics Conference, July 2014, University of Ottawa, Ottawa, Canada.
Workshop on Homogeneous Structures, October 28-31, 2013, at the Hausdorff Research Institute for Mathematics in Bonn, Germany
Thematic Program on Forcing and its Applications, July – December 2012 at the Fields Institute in Toronto, Canada
Workshop on Forcing Axioms and their Applications, October 22-26, 2012, at the Fields Institute in Toronto, Canada
Young Set Theory Workshop 2012, April 30 – May 4, 2012 at the CIRM in Marseille, France
Teaching Assistant
University of Toronto (2014-2015)
MAT 137 – Calculus! (Alfonso Gracia-Saz)
MAT 237 – Multivariable Calculus (Soheil Homayouni)
University of Toronto (2013-2014)
MAT 194/195 – Calculus for Engineering Science (Peter Stangeby/Jim Davis)
MAT 135 – Calculus for Life Sciences 1 (Anthony Lam)
MAT 327 – Introduction to Topology (Regina Rotman)
University of Toronto (2012-2013)
MAT 137 – Calculus! (Lindsey Shorser)
MAT 135 – Calculus for Life Sciences 1 (Anthony Lam)
University of Toronto (2011-2012)
MAT 187 (Summer) – Calculus for Engineers (Dietrich Burbulla)
MAT 327 – Introduction to Topology (Florian Herzig)
MAT 196/197 – Calculus A/B (Nara Jung)
MAT 186/187 – Calculus for Engineers (Dietrich Burbulla)
MAT 135 – Calculus for Life Sciences 1 (Meng Fai Limm)
University of Toronto (2010-2011)
MAT 237 (Summer)- Advanced Calculus (Marina Chugunova)
MAT 309 – Mathematical Logic (Frank Tall)
MAT 157 – Basic Calculus (Travis Squires)
MAT 137 – Calculus! (Soheil Homayouni)
MAT 186/187 – Calculus for Engineers (Shai Cohen)
University of Toronto (2009-2010)
MAT 135/136 – Calculus for Life Sciences (Anthony Lam)
University of Winnipeg (2008-2009)
Introductory Calculus – (John Ginsburg)
Linear Algebra 1 – (John Ginsburg)
Intermediate Calculus – (Ross Stokke, Terry Visentin)
University of Winnipeg (2007-2008)
Introductory Calculus – (Morten Nielsen)
Relevant Volunteer Work
Math Mentorship program (2010-2014)
2014 – Crowdsourcing hard problems
2012 – Small Sum Sets and Product sets of positive integers
2011 – Contest math and field theory
2010 (Summer) – Mini-course on Lebesgue measure
2010 – Characterizing groups of small finite order
Asian Pacific Mathematics Olympiad (2014)
Marker for high school contest
Canadian Open Mathematics Competition (2011, 2012)
Marker for high school contest
Canadian Math Kangaroo Contest (2011, 2012)
Problem solving leader for grade 3-12 contest
Canada/USA Mathcamp visiting lecturer (Summer 2010)
Lectured about Ramsey Theory and infinite combinatorics
Mike Pawliuk - Mathematics 