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Denis Gorodkov

Researcher, teacher, curriculum designer and consultant in mathematics. Sessional instructor at the University of Toronto Scarborough, and curriculum designer at the Russian School of Mathematics.

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About me

Research and teaching are two complementary parts of my life: I do not see one without the other. The research I am involved in revolves around problems in geometry and topology, usually with some combinatorial aspect.

Abe Shenitzer

My abiding ambition is to present mathematics so that it is seen to be as it is — an art.

Research

Triangulations & characteristic classes

Minimal triangulations and explicit combinatorial formulas for the first Pontryagin class — including the 15-vertex triangulation of the quaternionic projective plane.

Research page →

Recent work

Hurwitz numbers of complex reflection groups, geodesic nets, and reinforcement learning on Cayley graphs.

Preprints on arXiv →

Teaching

University courses

MATA22, MAT102, 188, 224 and 246 at the University of Toronto — lecture notes, materials and student resources.

Teaching →

Curriculum & competition mathematics

Curriculum design and a topic-tagged competition-mathematics problem library.

Competition mathematics →

Latest

Recent news and posts

NoteTypePreviewCreatedModified
Humbled-Jun 11, 2026Jun 11, 2026
Teaching updateNewsThis semester I will be teaching MATA 22 at UTSC.May 4, 2026May 4, 2026
Last day teaching MAT102 at UTMNewsThis semester I have taught MAT 102 (Introduction to Proofs) at UTM.Dec 2, 2025Dec 2, 2025
Student hoursNewsThe last student hours for the immediate future will be held tomorrow and on Friday (June 26th and June 27th). Please check the link for specific hours: student hours calendar.Aug 15, 2025Aug 12, 2025
Student hours calendarNewsFor the students who are interested in attending student hours regularly, I created a calendar where the schedule of student hours will be present. Here is the link: student hours calendar.Aug 15, 2025Aug 12, 2025
Student hours updateNewsStudent hours will resume next week, on Friday August 9th 1 pm - 4 pm. They will be held in my office, HSB 374.Aug 15, 2025Aug 12, 2025
Teaching updateNewsI will be teaching MAT 188 and MAT 246 in the 2024-2025 academic year.Aug 15, 2025Aug 12, 2025
Link to original

Contact

Email me at denis.gorod@gmail.com, or use the form below — I’m always glad to talk research, teaching, or collaboration.