**Updated**: July 2017

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** – Large Topological Groups, Urysohn-type Spaces, Universal Groups, Infinite Combinatorics

**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. (*Github profile*, *Codecademy profile*)

**Citizenship** – Canadian

Courses Taught

**University of Calgary (Winter 2016)** – University Calculus II – MATH 267

**University of Toronto (Summer 2016)** – Multivariable Calculus – MAT 237

**University of Toronto (Winter 2016)** – Calculus for Engineers 2 – MAT 187

**University of Toronto (Fall 2015)** – Multivariable Calculus – MAT 235

**University of Toronto (Summer 2014)** – Introduction to Topology – MAT 327

**University of Toronto (Winter 2014)** – Calculus! – MAT 137

**University of Toronto (Summer 2013)** – Introduction to Topology – MAT 327

Research Papers published

“Completing graphs to metric spaces” by Andrés Aranda, David Bradley-Williams, Eng Keat Hng, Jan Hubička, Miltiadis Karamanlis, Michael Kompatscher, Matěj Konečný, Micheal Pawliuk. 19 pages. 2017. Submitted to Contributions to Discrete Mathematics.

“Ramsey expansions of metrically homogeneous graphs” by Andrés Aranda, David Bradley-Williams, Jan Hubička, Miltiadis Karamanlis, Michael Kompatscher, Matěj Konečný, Micheal Pawliuk. 56 pages. 2017.

“Amenability and unique ergodicity of automorphism groups of countable homogeneous directed graphs.” by Micheal Pawliuk and Miodrag Sokic. 56 pages. 2017. To appear in Ergodic Theory and Dynamical Systems.

“Amenability and unique ergodicity of automorphism groups of countable homogeneous directed graphs.” by Micheal Pawliuk. 2015. Thesis.

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**

“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 (2010-2012)**

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