**Updated**: September 2018

Research positions

**University of Calgary – Post Doc** (2017-)

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**

“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