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: S24, F23, S23, F22, S22, F21, S21 (online teaching), F19
Thank-a-teacher (UNT, 2023-24)
Thank you letter from the students (FSU, 2021)
Provost Certificate of Distinction in Teaching (OU, 2014)


Published papers and preprints:

  1. Endomorphisms of Artin groups of type Ãn. (with L. Paris, submitted) [ pdfarxiv abstract ]

  2. Divergence, thickness and hypergraph index for general Coxeter groups. (with P. Dani, Y. Naqvi and A. Thomas, accepted in Israel Journal of Mathematics) [ pdfarxivGAP codeslidesvideo abstract ]

  3. Property R for some spherical and affine Artin-Tits groups. (with M. Calvez) Journal of Group Theory 25, 6 (2022), 1045-1054
    [ pdfarXivdoiMathReviewszbMATHslides abstract ]

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

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

    [ pdfarXivdoiMathReviewsslidesvideo abstract ]

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

    [ pdfarXivdoiMathReviewszbMATH abstract ]

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

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

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

  8. 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 [ pdfarXivdoiMathReviewsslides abstract ]

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

    [ pdfarXivdoi MathReviewszbMATHslidescomments abstract ]

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

    [ pdfarXiv (old version) ▪ doiMathReviewscomments 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, 2.

This page was last updated on Friday, June 7, 2024.