Ignat Soroko

Department of Mathematics
University of North Texas
Denton, TX 76203-5017

Office: 410 GAB
Email: ignat.soroko@unt.edu

I am a Visiting Assistant Professor at the Department of Mathematics of the University of North Texas. I received my Ph.D. from the University of Oklahoma in May 2018 under the supervision of Noel Brady. After that I was a postdoc at Louisiana State University under the mentorship of Pallavi Dani, and a Dean's Postdoctoral Scholar at Florida State University.

Research interests:

Geometric group theory and low-dimensional topology, with emphasis on Artin groups, Coxeter groups, mapping class groups, quasi-isometry invariants, and Dehn functions of groups. I also have an ongoing interest in `Hanna Neumann' type of questions, stable commutator length, and criteria for linearity.


Recent teaching evaluations: S22, F21, S21 (online teaching), F19
Provost Certificate of Distinction in Teaching (OU, 2014)


Published papers and preprints:

  1. Divergence, thickness and hypergraph index for general Coxeter groups. (with P. Dani, Y. Naqvi and A. Thomas)
    [ pdfarxivGAP codeslidesvideo abstract ]

  2. Property R for some spherical and affine Artin-Tits groups. (with M. Calvez) Journal of Group Theory (published online June 2022)
    [ pdfarXivjournal abstract ]

  3. Homological Dehn functions of groups of type FP2. (with N. Brady and R. Kropholler, submitted)
    [ pdfarXivvideo abstract ]

  4. Artin groups of types F4 and H4 are not commensurable with that of type D4. Topology and its Applications 300 (2021), 107770

    [ pdfarXivjournalMathReviewsslides abstract ]

  5. Linearity of some low-complexity mapping class groups. Forum Mathematicum 32 (2020), no. 2, 279-286

    [ pdfarXivjournalMathReviewszbMATH abstract ]

    A (longer) earlier version with an alternative computation "from first principles": [ pdf ]

  6. Realizable ranks of joins and intersections of subgroups in free groups. International Journal of Algebra and Computation

    30 (2020), no. 3, 625-666 [ pdfarXivjournalMathReviewsslidesvideo abstract ]

  7. Uncountably many quasi-isometry classes of groups of type FP. (with R. Kropholler and I. Leary) American Journal of

    Mathematics 142, 6 (2020), 1931-1944 [ pdfarXivjournalMathReviewsslides abstract ]

  8. Genus bounds in right-angled Artin groups. (with M. Forester and J. Tao) Publicacions Matemàtiques 64 (2020), no. 1, 233-253

    [ pdfarXivjournalMathReviewszbMATHslidescomments abstract ]

  9. Dehn functions of subgroups of right-angled Artin groups. (with N. Brady) Geometriae Dedicata 200 (2019), 197-239

    [ pdfarXiv (old version) ▪ journalMathReviewscomments abstract ]

Other texts:


All materials related to teaching are on Canvas At FSU: At LSU:


My wife Hayat Hokayem is an Associate Professor in the College of Education at Texas Christian University, Fort Worth, TX.
Our son Vikenty (born in 2014): 1, 2, 3, 4, 5, 6, 7.
Our son Nikolai (born in 2017): 1, 2, 3, 4, 5, 6, 7.
Vikenty and Nikolai together: 1.

This page was last updated on Saturday, October 1, 2022.