Papers:
(1) The Strong Atiyah Conjecture for virtually cocompact special groups. Mathematische Annalen Vol 359, 629-636, 2014. Arxiv
(2) L^2-(co)homology of groups that admit hierarchies, with Okun Algebraic and Geometric Topology Vol 16, 2549-2569, 2016. Arxiv
(3) Action dimension of right-angled Artin groups, with Avramidi, Davis, and Okun. Bulletin of the London Math Society Vol 48, 115-126, 2015. Arxiv
(4) Thurston Norm and Fox Calculus with Friedl and Tillmann Geometry & Topology Volume 21, 3759-3784, 2015. Arxiv
(5) Coxeter groups, Ruins, and Weighted L^2-cohomology, with Mogilski. Geometriae Dedicata Vol 195 Issue 6 2017. Arxiv
(6) Action Dimension of Lattices in Euclidean buildings Algebraic and Geometric Topology Vol. 18, Issue 6, 3257--3277, 2018. Arxiv
(7) Action Dimension of Simple Complexes of Groups with Davis and Le. Journal of Topology Vol. 12, Issue 4, 1266-1314, 2019. Arxiv
(8) Thurston norm of tunnel number one manifolds with Pacheco-Tallaj and Vlamis. Journal of Knot Theory and its Ramifications Vol 28, Issue 9, 2019. Arxiv
(9) Nonplanar graphs in the boundary of CAT(0) groups, with Stark. Groups, Geometry, and Dynamics Vol 14, Issue 4, 2020. Arxiv
(10) Proper actions versus uniform embeddings. Groups, Geometry, and Dynamics, Vol. 15 No. 3, 1015-1039, 2021. Arxiv
(11) Mod p and torsion homology growth in nonpositive curvature with Avramidi and Okun. Inventiones Mathematicae 2021. Arxiv
(12) Compressible spaces and EZ-structures with Guilbault and Moran Fundamenta Mathematicae , Vol 256, 47-75, 2022. Arxiv
(13) Right-angled Artin subgroups of Artin groups with Jankiewicz Journal of the LMS (2), 1-37, 2022. Arxiv
(14) Torsion invariants of complexes of groups with Okun. Duke Math Journal. Vol. 173 (2), 391-418, 2024 Arxiv
(15) The K(pi,1)-conjecture implies the center conjecture for Artin groups with Jankiewicz Journal of Algebra, Vol. 615, 455-463, 2023. Arxiv
(16) Minimal volume entropy of RAAG's with Haulmark Bulletin of the London Mathematical Society Vol. 55 (2) 879-885 Arxiv
(17) Homology growth, hyperbolizations, and fibering with Avramidi and Okun. Geometric and Functional Analysis. Vol 34 303-376 (2024), Arxiv
(18) Profinite properties of algebraically clean graphs of groups with Jankiewicz. Published online in J. Pure Appl. Algebra Arxiv
(19) Orders and Fibering with Okun to appear in Groups, Geometry, and Dynamics Arxiv
(20) Products of free groups in graph braid groups with Jankiewicz Accepted to Mathematische Zeitschrift Arxiv
(21) Edge subdivisions and the L^2-homology of right-angled Coxeter groups with Avramidi, Okun Arxiv Video :-)
(22) L^2-Betti numbers of branched covers of hyperbolic manifolds with Avramidi, Okun Mathematische Annalen, 392 (2025) 2621-2634 Arxiv
(23) Cyclic orders and actions of the Leary-Minasyan groups on coarse PD(n) spaces with Banarjee, Arxiv, (2025)
(24) Conformal dimension bounds, Pontryagin sphere boundaries, and algebraic fibering of right-angled Coxeter groups with Cashen Dani, Stark (2025) Arxiv
VIR Course(s)
In Fall 2024, I co-taught a Vertically Integrated Research course with Pallavi Dani. This resulted in the paper The algebraic structure of graph braid groups International Journal of Algebra and Computation, 35 (2025) 329--342 Arxiv
Videos
September 2020 UChicago Colloquium Homological growth in towers and aspherical manifolds Youtube
May 2020 Fields Institute Mod p and torsion homology growth of aspherical manifolds Video
September 2017 Newton Institute, Action dimension of simple complexes of groups Video
Past Talks
March 2025 Spring School on Analytic Group Theory UT-Austin
November 2024 University of Hawaii Colloquium
September 2024 Conference on Combinatorial Nonpositive Curvature, BIRS
May 2024 Conference on Homological Growth in Group Theory and Topology, MPIM Bonn
April 2024 Tufts GGT Seminar
April 2024 Invited Address AMS Spring Sectional-UW Milwaukee
Online Seminar in Bounded Cohomology June 12
AMS Special Session at Georgia Tech, March 17-18
Ohio State Seminar April 13
December 2022 CalTech Geometry Seminar
March 2022 AMS Meeting Purdue (virtual)
November 8, 2021 University of Münster Tea Seminar
October 26, 2021 Rutgers University Topology/Geometry Seminar
September 2021 University of Arkansas Topology Seminar
May 2021 Spring Topology and Dynamics Conference GT Session
March 2021 Binghamton Topology Seminar Right-angled Artin subgroups of Artin groups
February 2021 McGill GGT Seminar Right-angled Artin subgroups of Artin groups
February 2021 Brandeis Topology Seminar Right-angled Artin subgroups of Artin groups
December 2020 Group Actions Seminar Right-angled Artin subgroups of Artin groups
September 2020 UChicago Colloquium Mod p homology growth in nonpositive curvature
May 2020 Fields Institute Conference on Polyhedral Products in Geometric Group Theory Mod p homology growth in nonpositive curvature
September 2019, Oberlin College Intro to GGT Seminar and General Seminar
August 2019 Vanderbilt Topology Seminar Proper actions versus uniform embeddings
April 2019 Cohomological methods conference, IMPAN Simons Semester Proper actions versus uniform embeddings
March 2019 Spring Topology and Dynamics Conference Proper actions versus uniform embeddings
January 2019 Geometry Seminar University of Illinois-Chicago Proper actions versus uniform embeddings
November 2018 University of Chicago Action dimension of simple complexes of groups
Topology Seminar September 2018 University of Wisconsin-Milwaukee Action dimension of simple complexes of groups
Workshop in Geometric Topology, June 2018 Calvin College Action dimension of simple complexes of group
AMS Special Session in Differential Geometry, March 2018. Ohio State. Action dimension of lattices in Euclidean buildings
Spring Topology and Dynamics Conference, March 2018, Auburn. Semiplenary Talk. Action dimension of simple complexes of groups
RTG Working Seminar October 2017 Smith Theory
Manifolds and Groups, September 2017 Regensburg Action dimension of simple complexes of group
Workshop on Nonpositively Curvature and Cohomology, September 2017 Newton Institute, Action dimension of simple complexes of groups
RTG Working Seminar February 2017 Hyperbolizations I-III
AIM Conference on Boundaries of Groups, November 2016 Introduction to L2-cohomology
UC-Berkeley Topology Seminar, October 2016 Thurston norm via Fox Calculus
SUNY-Binghamton Topology Seminar, October 2016 Thurston norm via Fox Calculus
RTG Working Seminar September 2015 Introduction to L2-cohomology I-III
Spring Topology and Dynamics Conference. May 2015. Action dimension of lattices in Euclidean buildings
G3-conference. March 2015 Action dimension and L2-homology
Max Dehn Seminar at the University of Utah. March 2015 Action dimension and L2-homology
Oberwolfach Workshop on Geometric Topology Jan 2015. Action dimension of RAAG’s
Topological Methods in Group Theory: A conference in honor of Ross Geoghegan’s 70th birthday. June 201 Action dimension of RAAG’s
Ohio State University, Colombus, OH Action dimension of RAAG’s
Workshop on Geometric Topology June 2014 University of Wisconsin-Milwaukee, Milwaukee, WI Action dimension of RAAG’s
Workshop on Geometric Topology June 2013 Calvin College, Grand Rapids, MI The Strong Atiyah Conjecture and virtually compact special groups