Jamal Kawach

I am an Assistant Professor, Teaching Stream at the Department of Mathematics, University of Toronto. Previously, I was a postdoctoral researcher at the Department of Applied Mathematics at Charles University, Prague. Prior to that, I obtained my Ph.D. in mathematics at the University of Toronto under the supervision of Stevo Todorčević and Jordi López-Abad.



Teaching

In the academic year 2023-24, I am teaching MAT235Y1: Multivariable Calculus and MAT135H1: Calculus I. All course files and information will be posted on Quercus. For any administrative questions or requests related to MAT235, please use the course admin email.

In the past, I have taught MAT135H1: Calculus I, MAT136H1: Calculus II, and MAT235Y1: Multivariable Calculus at the University of Toronto. In summer 2021, I taught and coordinated MAT135H1. The course was taught and administered entirely online. The syllabus for the course can be found here.



Research

My research interests include Ramsey theory and its interactions with other areas of mathematics, including set theory, the geometry of Banach spaces, and topological dynamics.

Preprints and publications

  1. J. K. Kawach and J. López-Abad. Fraïssé and Ramsey properties of Banach spaces with sections and embedding-projection pairs. Preprint.
  2. S. Braunfeld, D. Chodounský, N. de Rancourt, J. Hubička, J. Kawach and M. Konečný. Big Ramsey degrees and infinite languages.   [arxiv]
  3. J. K. Kawach and J. López-Abad. Fraïssé and Ramsey properties of Fréchet spaces. J. Math. Anal. Appl. 507 (2022), no. 1, 125769.   [arxiv]   [journal]
  4. J. K. Kawach. Parametrized Ramsey theory of infinite block sequences of vectors. Ann. Pure Appl. Logic 172 (2021), no. 8, 102984.   [arxiv]   [journal]
  5. J. K. Kawach and S. Todorcevic. Topological Ramsey spaces of equivalence relations and a dual Ramsey theorem for countable ordinals. Adv. Math. 396 (2022), 108194.   [arxiv]   [journal]
  6. J. K. Kawach. An infinite-dimensional version of Gowers' FIN±k theorem. Proc. Amer. Math. Soc. 148 (2020), no. 10, 4137--4150.   [arxiv]   [journal]

Theses

  1. J. K. Kawach. Approximate Ramsey methods in functional analysis. Ph.D. thesis, University of Toronto.
  2. J. K. Kawach. An almost everywhere extension theorem for continuous definable functions in an o-minimal structure. M.Sc. thesis, McMaster University.


Miscellaneous

My mathematical genealogy.