Professor

- Office: RLM 9.154
- Phone: 471-1132
- Mail: Mathematics Department

1 University Station C1200

University of Texas at Austin

78712 - email: lpbowen
(at) math.utexas.edu

- Ph.D. in Mathematics, University of Texas at
Austin, 2002.
- B.S. with Honors in Mathematics, University
of Texas at Austin, 1997.

- Spring
2017: Professor of Mathematics, UT Austin
- Fall 2015: Miverva
Distinguished Visiting Professorship at Princeton
- 2012-Spring 2017, Associate Professor of
Mathematics, UT Austin.
- 2011-2012, Associate Professor of
Mathematics, Texas A&M.
- 2009-2011, Assistant Professor of
Mathematics, Texas A&M.
- 2007-2009, Assistant Professor of
Mathematics, University of Hawai'i.
- Summer 2007, Visiting Professor of
Mathematics, University of Texas at Austin.
- Fall 2004-Spring 2007, Zorn Postdoctoral
Fellow, Indiana University.
- Fall 2002-Spring 2004, VIGRE Postdoctoral
Fellow, UC Davis.
- Summer 2001, Assistant Instructor, University
of Texas at Austin.

My
research
is in the ergodic theory of non-amenable group actions and
in geometric group theory.

- 2017:
Simons
Fellow.
- Fall
2017: Faculty Research Assignment from UT.
- 2017:
Brin Prize in Dynamical Systems.
- Fall 2015-Spring 2017: Gerth
Faculty Fellow at UT.
- January 2016: Bourbaki article on
my work: Gaboriau,
Damien Entropie sofique. (French) [Sofic
entropy] Séminaire Bourbaki. Vol. 2015/2016. Exposés
1104–1119. Astérisque No.
390 (2017), Exp.
No. 1108, 101–138.

- Fall 2015: Miverva
Distinguished Visiting Professorship at Princeton
- Fall 2012: Fellow of the AMS (inaugural
class).
- Fall 2011: Invited address at the Central AMS
Meeting, University of Nebraska-Lincoln.
- Spring 2002: Frank Gerth
III Dissertation Award.
- Fall 1999 - Spring 2000: Livingston
Fellowship.
- Fall 1997 - Spring 1998: John L. and Anne
Crawford Endowed Presidential Scholarship Recipient.

- NSF Grant DMS--1900386, Ergodic Theory of
Non-amenable Group Actions, PI,
May 2019-April 2022. $329,726.

- NSF Grant DMS--1500389, Ergodic Theory of
Non-amenable Group Actions, PI,
May 2015-April 2018. $373,411.
- NSF CAREER Grant DMS--0954606, CAREER:
Ergodic theory of non-amenable group actions, PI, May 2010
to May 2015. $499,993.
- NSF Grant DMS--0968762, Ergodic theory of
non-amenable group actions, PI, Sept 2009 to Aug 2012.
$170,760.
- BSF Grant #2008274, Ergodic theory beyond
amenable groups, co-PI, Sept 2009 to Aug 2013. $52,000.

2000

- Lewis Bowen, Circle Packing in Hyperbolic
Space, Math. Phys. Electron. J. 6 (2000), Paper 6, 10 pp.
(electronic).

2003

- Lewis Bowen, Periodicity and Circle Packing
in the Hyperbolic Plane, Geom. Dedicata
102 (2003), 213--236.
- Lewis Bowen, On the existence of completely
saturated packings and
completely reduced coverings, Geom. Dedicata
98 (2003), 211--226.
- Lewis Bowen and Charles Radin,
Densest Packing of Equal Spheres in Hyperbolic Space,
Discrete Comput. Geom. 29
(2003), no. 1, 23--39.

2004

- Lewis Bowen, Couplings of Uniform Spanning
Forests, Proc. Amer. Math. Soc. 132 (2004), no. 7,
2151--2158.
- Lewis Bowen and Charles Radin,
Optimally Dense Packings of
Hyperbolic Space, Geom. Dedicata
104 (2004), 37--59.

2005

- Lewis Bowen, Charles Holton, Charles Radin and Lorenzo Sadun, Uniqueness and symmetry in
problems of optimally dense packings,
Math. Phys. Electron. J. 11 (2005), Paper 1, 34 pp.
- Lewis Bowen, Mike Develin, Jesus De Loera and
Francisco Santos, On the Gromov
Norm of the Product of Two Surfaces, Topology 44 (2005),
no. 2, 321--339. erratum: Topology 47 (2008), no. 6,
471--472.

2006

- Lewis Bowen, Russell Lyons, Charles Radin and Peter Winkler, A
Solidification Phenomenon in Random Packings,
SIAM J. Math. Anal. 38 (2006), no. 4, 1075--1089.
- Lewis Bowen, Russell Lyons, Charles Radin and Peter Winkler,
Fluid/Solid Transition in a Hard-Core System, Phys. Rev.
Lett. 96, 025701 (2006).

2007

- Lewis Bowen, A
generalization of the prime geodesic theorem to counting
conjugacy classes of free subgroups. Geom. Dedicata, 124, (2007), 37--67.

2009

- Lewis Bowen, Free groups in lattices,
Geometry & Topology, 13, (2009), 3021--3054.

2010

- Lewis Bowen, Nonabelian
free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula, Ergodic Theory Dynam.
Systems 30 (2010), no. 6, 1629--1663.
- Lewis Bowen, The ergodic theory of free group
actions: entropy and the f-invariant. Groups Geom. Dyn. 4 (2010), no. 3, 419--432
- Lewis Bowen, A new measure conjugacy
invariant for actions of free groups, Ann. of Math., vol.
171 (2010), No. 2, 1387--1400.
- Lewis Bowen, Measure conjugacy invariants for
actions of countable sofic groups, J. Amer. Math. Soc.,
23 (2010), 217-245.
- Lewis Bowen, Invariant measures on the space
of horofunctions of a word
hyperbolic group, Ergodic Theory Dynam.
Systems. 30 (2010), no. 1, 97--129.

2011

- Lewis Bowen, Entropy for expansive algebraic
actions of residually finite groups, Ergodic Theory Dynam. Systems. 31 (2011), no. 3,
703--718.
- Lewis Bowen, Weak isomorphisms
between Bernoulli shifts, Israel J. of Math, (2011) Volume 183,
Number 1, 93-102.
- Lewis Bowen, Orbit equivalence, coinduced actions and free
products, Groups Geom. Dyn.
5 (2011), no. 1, 1–15.
- Lewis Bowen, Stable orbit equivalence of
Bernoulli shifts over free groups, Groups Geom. Dyn.
5 (2011), no. 1, 17–38.

2012

- Lewis Bowen and Hanfeng
Li, Harmonic models and spanning forests of residually
finite groups, Journal of Functional Analysis, Volume 263,
Issue 7, 1 October 2012, 1769--1808.
- Lewis Bowen, Every countably infinite group
is almost Ornstein, Contemp. Mathematics, 567, (2012), 67–78.
- Lewis Bowen, Sofic
entropy and amenable groups, Ergodic Theory Dynam. Systems 32 (2012), no. 2,
427–466.

2013

- Lewis Bowen and Amos Nevo,
Pointwise ergodic theorems beyond amenable groups, Ergod. Th. and Dynam.
Sys. (2013), 33, 777--820.
- Lewis Bowen and Robin Tucker-Drob, On a co-induction question
of Kechris, Israel J. of Math. March 2013, Volume 194,
Issue 1, pp 209--224.
- Lewis Bowen and Yonatan Gutman,
Corrigendum to "Nonabelian
free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula", Ergodic Theory and Dynam.
Systems 33 Issue 02 /
April 2013, pp 643 - 645.
- Lewis Bowen and Amos Nevo,
Geometric covering arguments and ergodic theorems for free
groups, L’Enseignement
Mathématique, Volume 59,
Issue 1/2, 2013, pp. 133--164.

2014

- Lewis Bowen, Random walks on coset spaces with applications to
Furstenberg entropy. Invent. Math. Volume 196, Issue 2
(2014), Page 485-510
- Lewis Bowen and Amos Nevo,
A horospherical ratio ergodic
theorem for actions of free groups. Groups Geom. Dyn. 8(2):331--353, 2014.
- Lewis Bowen and Yonatan Gutman,
A Juzvinskiĭ Addition Theorem
for Finitely Generated Free Group Actions, Ergodic Theory
Dynam. Systems 34 (2014), no.
1, 95--109.
- Lewis Bowen, The type and stable type of the
boundary of a Gromov
hyperbolic group. Geometriae
Dedicata, October 2014, Volume
172, Issue 1, pp 363--386.
- Lewis Bowen, Entropy theory for sofic groupoids
I: the foundations. Journal d'Analyse
Mathématique
October 2014, Volume 124, Issue 1, pp 149--233.

2015

- Lewis Bowen, Cheeger
constants and L2 Betti
numbers. Duke Math. J. 164 (2015), no. 3, 569–615.
- Lewis Bowen, Rostislav Grigorchuk
and Rostyslav Kravchenko,
Invariant random subgroups of lamplighter groups. Israel J. Math. 207 (2015), no. 2,
763–782.
- Lewis Bowen and Amos Nevo,
Amenable equivalence relations and the construction of
ergodic averages for group actions. J. Anal. Math. 126 (2015), 359–388.
- Lewis Bowen, Invariant random subgroups of
the free group. Groups Geom. Dyn.
9 (2015), no. 3, 891–916.
- Lewis Bowen and Amos Nevo,
von-Neumann and Birkhoff
ergodic theorems for negatively curved groups. Ann. Sci. Éc. Norm. Supér.
(4) 48 (2015), no. 5, 1113–1147.
- Lewis Bowen, Weak density of orbit
equivalence classes of free group actions. Groups Geom. Dyn. 9 (2015), no. 3, 811–830.

2016

- Lewis Bowen, Yair
Hartman and Omer Tamuz,
Property (T) and the Furstenberg entropy of nonsingular
actions. Proc. Amer. Math. Soc. 144 (2016), no. 1,
31–39.
- Lewis Bowen, Alexander
Bufetov and Olga Romaskevich,
Mean convergence of Markovian spherical averages for
measure-preserving actions of the free group. Geom. Dedicata 181 (2016), 293–306.
- Lewis Bowen, L1-measure equivalence and group
growth, in the appendix of: Integrable
measure equivalence for groups of polynomial growth by Tim
Austin. Groups Geom. Dyn.
10 (2016), no. 1, 117–154.
- Lewis Bowen, Zero
entropy is generic. Entropy 18 (2016), no. 6, Paper No.
220, 20 pp.

2017

- Lewis Bowen, Simple and large equivalence
relations. Proc. Amer. Math. Soc. 145 (2017), no. 1,
215–224.
- Lewis Bowen, Rostislav Grigorchuk
and Rostyslav Kravchenko,
Characteristic random subgroups of geometric groups and
free abelian groups of infinite rank. Trans.
Amer. Math. Soc. 369 (2017), no. 2, 755–781.
- Lewis Bowen, Yair
Hartman and Omer Tamuz,
Generic stationary measures and actions. Trans.
Amer. Math. Soc. 369 (2017), no. 7, 4889–4929.
- Lewis Bowen, Integrable
orbit equivalence rigidity for free groups.
Israel
J. Math. 221 (2017), no.
1, 471–480.

2018

- Bowen, Lewis; Hoff, Daniel; Ioana, Adrian; von Neumann's problem and extensions of non-amenable equivalence relations. Groups Geom. Dyn. 12 (2018), no. 2, 399–448.
- Bowen, Lewis; Tucker-Drob, Robin The space of stable weak equivalence classes of measure-preserving actions. J. Funct. Anal. 274 (2018), no. 11, 3170–3196.
- Lewis Bowen, Equivalence relations that act on bundles of hyperbolic spaces. Ergodic Theory Dynam. Systems 38 (2018), no. 7, 2447–2492.
- Lewis Bowen, All properly ergodic Markov chains over a free group are orbit equivalent. Unimodularity in randomly generated graphs, 155–174, Contemp. Math., 719, Amer. Math. Soc., Providence, RI, 2018.

2019

- Bowen, Lewis, Finitary random interlacements and the Gaboriau-Lyons problem. Geom. Funct. Anal. 29 (2019), no. 3, 659–689.

- Lewis Bowen and Amos Nevo, Hyperbolic geometry and pointwise ergodic theorems. To appear in Ergodic Theory and Dynamical Systems.
- Ian Biringer, Lewis Bowen and Omer Tamuz, Invariant random subgroups of semidirect products. To appear in Ergodic Theory and Dynamical Systems.
- Lewis Bowen, A brief introduction to sofic entropy theory. To appear in the Proceedings of the ICM.
- Lewis Bowen, Examples in the entropy theory of countable group actions. To appear in Ergodic Theory and Dynamical Systems.

- Lewis Bowen and Robin Tucker-Drob, Superrigidity, measure equivalence, and weak Pinsker entropy.
- Lewis Bowen and Peter Burton, Failure of the L^1 pointwise ergodic theorem for PSL(2,R).
- Lewis Bowen, Sofic homological invariants and the Weak Pinsker Property.
- Lewis Bowen and Peter Burton, Flexible stability and nonsoficity.

**Book Reviews**

- Lewis Bowen, Review of Entropy in
dynamical systems by Tomasz Downarowicz,
Bulletins of the AMS, Vol 51, No 4, October 2014, 669-674.
- Lewis Bowen, Book review of Introduction to sofic and hyperlinear groups and Connes' embedding conjecture. Bull. Symb. Log. 22 (2016), no. 3, 356--358.

- Co-organizer of the 3-day
Groups & Dynamics workshop at U. of Texas, September 2018.

- Member of the Scientific Committee for the workshop "Entropies and soficity" to be held in Lyon, France, January 2018.
- Co-organizer of the "Ergodic
Theory and Operator Algebras" workshop at Texas A&M,
June 2017.
- Organizer of the Focused Research Group
``Entropy Theory in Dynamics’’ at the Banff International
Research Station, August 2016.
- Co-organizer of the "Groups & Dynamics"
workshop at UT Austin, March 2015.
- Co-organizer of the Arbeitsgemeinschaft
on Sofic Entropy at Oberwolfach, Germany, October
2013.
- Organizer of the "Dynamical Systems of
Algebraic Origin" workshop at UW, August 2013.
- Organizer of the "L^1-Orbit Equivalence"
workshop at UIC, July 2013.
- Co-organizer of the "Group Actions and
Dynamics seminar" at UT Austin, Fall 2012 - present.
- Co-organizer of "Groups, Geometry and Random
Structures" a workshop held in March 2012 at Texas A&M
University.
- Co-organizer of a special session on
Dynamical Systems and Operator Algebras at the 2011 Fall
Central Section Meeting of the AMS at the University of
Nebraska-Lincoln.
- Co-organizer of "Group actions on measure
spaces" a workshop held in March 2011 at Texas A&M
University.
- Co-organizer of "Workshop on Groups, Embeddings and Applications",
March 2009 at the University of Hawai'i.
- Co-organizer, Undergraduate seminar, 2007-2009 at the University of Hawai'i.

- I gave a talk on the work of
recent Fields Medalist Akshay Venkatesh, Sept 2018.

- Invited speaker at the Undergraduate Math
Club at UT, February 2013.
- Invited speaker at MCTP (Mentoring through
critical transition points) at Texas A&M, July 2010,
July 2011, July 2012.
- Invited speaker at Texas A&M
Undergraduate Math Club, April 2011.
- Keynote speaker at Aggieland
Saturday, Feb 2011.
- Mentored two undergraduates as part of the
Research Experiences for Undergraduates program at Indiana
University during the summer of 2006.

Volumes edited

- Co-editor of a special volume
of Contemporary Mathematics in honor of A. M. Stepin
*: Dynamical systems and group actions*, Contemp. Math., 567, Amer. Math. Soc., Providence, RI, 2012.

Committees & other service within the UT math
department

- 2018-19:
Chair committee, ASGCS, Candidacy Committee
(for Neza Zager Korenjak, Isaac Smith and Theodore Weisman),
PhD Committee (for James Murphy), Tenure Committee,

- 2017-18:
Faculty Annual Review Committee, Chair committee, Hiring
Committee (Bing and aP), ASGCS,
Algebra Prelim Exam (both Summer & Winter), Graduate
admissions, Candidacy Committee (for James Murphy, Max
Riestenberg and Yuqing Lin),
PhD Committee (for Yuqing Lin).
- 2016-17:
Hiring Committee, ASGSC, Analysis Prelim Exam Committee
(Winter), PhD Committee (for Alice Mark, Kathyrn Dabbs, Sukhpreet
Singh),
- 2015-16:
ASGSC, Analysis Prelim Exam Committee (Summer), Tenure
Committee, Candidacy Committee (for Alice Mark)
- 2014-15:
ASGSC, Analysis Prelim Exam Committee (Summer), Third Year
Review Committee, Graduate admissions committee.
- 2013-14:
ASGSC, Analysis Prelim Exam Committee (Summer), Third Year
Review Committee, PhD Committee (for Michael Kelly), Tenure
Committee, Postdoctoral hiring committee, Graduate
admissions committee.
- 2012-13: Postdoctoral hiring committee, Graduate admissions committee.

Committees & other service outside the UT math
department

- 2014. Phd Committee for Jan Cannizzo, University of Ottawa.
- 2011-2012. Teaching
Committee Member, Texas A&M.

**Professional Service**

- Editor for
Journal of Modern Dynamics since 2018.

- Committee
member of the Dynamical Systems Prize for Young Mathematicians
since Jaunary 2018.

- Brin Prize
committee member since 2017.

- NSF panel reviewer (four times, the last time was 2016).
- Reviewer for MathSciNet, Annals of Math, Publications of the IHES, Journal of Functional Analysis, Ergodic Theory and Dynamical Systems, Groups, Geometry and Dynamics, etc.
- Reviewer for KU
Leuven, FONDECYT, AGIRA, Binational Science Foundation.

**Lecture Series**

- Quantitative
Linear Algebra tutorials, IPAM March 2018. Title: Amenability,
soficity and entropy theory (4 50-minute lectures).

- L2 invariants
and their analogues in positive characteristic, ICMAT, April
2018. Title: Fuglede-Kadison Determinants and Sofic entropy.
(8 1.25-hour lectures).

- Advanced School: Entropies and Soficity. Universite de Lyon, January 2018. Title: Sofic entropy theory (5 lectures).
- Random Spatial Processes and Dynamics, Texas A&M, April 11-15, 2016, invited speaker. Titles: 1. Entropy and processes on regular trees, 2. More examples, factors and isomorphisms of Bernoulli shifts, 3. Zero entropy is generic.
- Miverva lecture series, Princeton University, Oct-Dec 2015. Title: Benjamini-Schramm convergence in Groups & Dynamics (5 lectures).
- A mini-course
on sofic groups (4 one-hour lectures) given during the Group
Structure, Group Actions and Ergodic Theory workshop at the
Fields Institute, February 2014.

Recent Invited Conference Talks and Outside Seminar Talks
(2009-present)

2019

- Measurability, Ergodic Theory and
Combinatorics, July 12, 2019, at Warwick University. Title:
A topological dynamical system with two different positive
sofic entropies.

- Geometry seminar, Sept 27, 2018. Title: Lecture 4 on the work of the 2018 Fields Medalists: Akshay Venkatesh.
- ICM invited lecture. August 8, 2018. Title: A brief introduction to sofic entropy theory.
- Caltech Colloquium. June 5, 2018. Title: Sofic entropy theory.
- UCLA/Caltech Joint Logic seminar, April 27, 2018, UCLA. Title: Weak Pinsker entropy.
- UCLA Colloquium, April 5,
2018. Title: Random interlacements, forests and walks.

- Workshop II: Approximation
Properties in Operator Algebras and Ergodic Theory, IPAM, May
1, 2018. Title: Sofic homology invariants and the Weak Pinsker
Property.

2017

- Simons Collaboration on Algorithms & Geometry Meeting (at the Simons Foundation in NYC) Oct 13, 2017, Invited Talk. Title: Measure-conjugacy invariants inspired by constraint satisfaction problems and a counterexample to the Weak Pinsker conjecture for free group actions.
- Probability Seminar at Princeton, Oct 11, 2017. Title: Random interlacements and the Gaboriau-Lyons problem.
- 2017 Workshop in Dynamical Systems and Related Topics at Penn State, Oct 5-8, 2017, Invited Talk. Title: Pointwise ergodic theorems for hyperbolic groups.
- Clay Research Conference special session on Ergodic Theory (at Oxford), Sept 24-29, 2017, Invited talk. Title: A counterexample to the Weak Pinsker conjecture for free group actions.
- Current Trends in Dynamical Systems and the Mathematical Legacy of Rufus Bowen, UBC, July 30-Aug 4, 2017. Title: Entropy theory in the nonamenable setting.
- von Neumann Algebras and Measured Group Theory, IHP, Paris, July 3-7, 2017. Title: Random interlacements and the von Neumann-Day problem.
- Baylor University Colloquium, May 2017. Title: Entropy theory in the non-amenable setting.
- Spring School on Analysis on Groups and Measured Group Theory, Northwester, April 3-7, 2017, invited talk. Title: Random Interlacements and the von Neumann-Day problem.
- University of Houston
Colloquium, Feb 22 2017. Title: Entropy theory in the
non-amenable setting.

2016

- University of Kansas Colloquium, Sept 22 2016. Title: Entropy theory in the non-amenable setting.
- Canadian Annual Symposium on Operator Algebras and their Applications (COSy), CRM, June 13-17, 2016, invited speaker. Titles: Introduction to sofic invariants, The Weak Pinsker Conjecture, Cheeger constants and L2-Betti numbers.
- Ergodic Theory and Logic mini-workshop, UCLA, Jan 2016. Title: the space of stable weak equivalence classes of measure-preserving group actions
- UCLA functional analysis
seminar, Jan 2016. Title: Zero entropy is generic

2015

- SUNY Stony Brook colloquium, Dec 2015. Title: Entropy for Sofic Group Actions
- Geometric and Probabilistic Methods in Group Theory and Dynamical Systems, Texas A&M, invited talk, Nov 2015. Title: Cheeger constants and L^2 Betti numbers
- CUNY Geometry and topology seminar, Nov 2015. Title: Cheeger constants and L^2 Betti numbers
- Technion Colloquium, Haifa, Israel, Oct 2015. Title: Entropy and processes on regular trees.
- Ergodic Theory, Fractals and Groups, Hebrew University, Jerusalem, Oct 2015. Title: Entropy theory for actions of nonamenable groups.
- Statistical physics on transitive graphs, the Bernoulli Center, Lausanne, Switzerland, Oct 2015. Title: Entropy and processes on regular trees.
- SUNY Buffalo Colloquium, Oct 2015. Title: Entropy for Sofic Group Actions
- Groups, Graphs and Stochastic processes, Banff International Research Center, June 2015. Title: F-entropy, random graphs and Markov chains.
- Caltech-UCLA joint analysis seminar, May 2015. Title: Pointwise ergodic theorems beyond amenable groups.
- University of Iowa Colloquium, May 2015. Title: Entropy for Sofic Group Actions
- Indiana University
Colloquium, April 2015. Title: Cheeger constants and L^2 Betti
numbers

2014

- Workshop von Neumann algebras and ergodic theory, UCLA, invited talk, September 2014. Title: Hyperbolic equivalence relations.
- Dynamics and Numbers, Max Planck Institute for Mathematics, invited talk, July 2014. Title: Sofic entropy and algebraic dynamics.
- IHES, Invited talk, July 2014. Title: Entropy for Sofic Group Actions.
- Graph limits, groups and stochastic processes, Renyi Institute, Budapest, July 2014. Title: Approximation properties of graphs, groups and symbolic actions
- Groups, Groupoids and Dynamics Workshop, Texas A&M, June 2014. Title: 3 part Lecture series on measured equivalence relations.
- Workshop on Dynamical Systems and Related Topics, University of Maryland, April 2014. Title: Stationary actions.
- Northwestern Colloquium, February 2014. Title: Entropy for Sofic Group Actions
- Random Walks on Groups, Institut Henri Poincare, January 2014. Title: Random walks on coset spaces of random subgroups.

2013

- Dynamics, Geometry and Operator Algebras, Texas A&M, August 2013.
- Group Theory, Measure, and Asymptotic Invariants, Oberwolfach, August 2013.
- Dynamical Systems of Algebraic Origin Workshop, UW, July 2013.
- L^1-Orbit Equivalence Workshop, UIC, July 2013.
- Courant Institute Colloquium, May 2013.
- Von Neumann Algebras and Ergodic Theory Workshop, invited talk, Vanderbilt University, April 2013.
- Workshop II: Dynamics of
Groups and Rational Map, Institute for Pure & Applied
Mathematics, invited talk, April 2013.

2012

- "Logic, Dynamics and their Interactions, with a celebration of the work of Dan Mauldin", U. of North Texas, plenary address, June 2012.
- Geometry and Topology seminar, Caltech, May 2012.
- Workshop on von Neumann algebras and ergodic theory, UCLA, May 2012.
- Group Theory International Webinar, May 2012.
- Vanderbilt Colloquium, March 2012.
- Laminations and Symbolic Dynamics, 3 talks, CIRM, Luminy, France, March 2012.
- Workshop on Invariant Random
Subgroups in Sde-Boker, Israel, 2 talks, Februrary-March 2012.

2011

- Rice University Colloquium, October 2011.
- 2011 Fall Central AMS Meeting, University of Nebraska-Lincoln, Invited address, October 2011.
- ``Groups, graphs and stochastic processes'', BIRS, June 2011.
- Workshop on II_1 factors: rigidity, symmetries and classification, IHP, May 2011.
- ``Finite-dimensional approximations to discrete groups'', Oberwolfach, May 2011.
- Trends in Dynamics, Northwestern University, April 2011.
- Dynamics seminar, University
of Houston, April 2011.

2010

- ``Workshop on Concentration Phenomenon, Transformation Groups and Ramsey Theory'', Fields Institute, Oct 12-15, 2010.
- Topology Seminar, UT Austin, Sept 27, 2010.
- ``Workshop on Geometric, Asymptotic and Combinatorial Group Theory with Applications'', Centre de recherches mathematiques, Aug 15-19, 2010.

2009

- Midwest Dynamics, University of Illinois, Chicago, Nov 6-8, 2009.
- Group Theory Seminar, UIUC, Nov 2009.
- Princeton Colloquium, Oct 2009.
- 3 talks at the Center for Dynamics and Geometry seminar, PSU, Oct 2009.
- East Coast Operator Algebras Symposium, Texas A&M, Oct 24-25 2009.
- Informal Regional Functional Analysis Seminar, Texas A&M, Aug 7-9 2009.
- 2nd Pingree Dynamics Workshop, Pingree Park, Aug 3-8 2009.
- Dynamical Systems and Randomness, Institut Henri Poincare, May 11-15 2009.
- Residually finite groups, graph limits and dynamics, Banff International Research Station, Apr 12-19, 2009.
- Probability seminar, University of Washington, April 2009.
- Rice University Colloquium, Feb 2009.
- UT Austin Colloquium, Feb 2009.
- U. of Houston Colloquium,
Feb 2009.

- Sukhpreet Singh (Summer 2011-Summer 2016). Sukhpreet received his PhD in Summer 2016 and gained employment at Goldman Sachs.
- Kathyrn Dabbs (Fall 2016-Summer 2017, co-advised with Amir Mohammadi). Kathryn received her PhD in Summer 2017 and became a lecturer in the UT math dept.
- Yuqing (Frank) Lin (Spring 2016-present)
- Isaac Smith (Fall 2016-present)

- Rostislav Kravchenko (Fall 2014-Spring 2015, currently a lecturer at Northwestern U.)
- Peter Burton (Fall 2017-present)

- Dylan Airey (Fall 2014-Spring 2017). Dylan was a Dean’s Honors Graduate and is currently a graduate student at Princeton U.

Spring 2019 |
Reading Course (undergraduate) |
M175 | UT Austin |

Spring 2019 |
Algebraic Structures I |
M373K |
UT Austin |

Fall 2018 | Random graphs and Gibbs measures |
M393C | UT Austin |

Fall 2018 | Probability I | M362K | UT Austin |

Spring 2017 |
Curves and Surfaces |
M365G |
UT Austin |

Fall 2016 |
Probability I |
M362K |
UT Austin |

Fall 2016 |
Algebra |
M380C |
UT Austin |

Spring 2016 |
Reading course (graduate) |
M396D |
UT Austin |

Spring 2016 |
Probability I |
M362K |
UT Austin |

Fall 2015 |
Reading course (undergraduate) |
M175 |
UT Austin |

Spring 2015 |
Introduction to Dynamics and Ergodic Theory |
M393C |
UT Austin |

Spring 2015 |
Probability I |
M362K |
UT Austin |

Fall 2014 |
Real Analysis |
M381C |
UT Austin |

Spring 2014 |
Probability I |
M362K |
UT Austin |

Fall 2013 |
Topics in Ergodic Theory |
M393C |
UT Austin |

Spring 2013 |
Algebraic Structures I |
M373K |
UT Austin |

Fall 2012 |
Advanced Calculus for Applications I |
M427k |
UT Austin |

Summer 2012 |
Directed Studies |
M685 |
Texas A&M |

Spring 2012 |
Directed Studies |
M685 |
Texas A&M |

Fall 2011 |
Structures and Methods of Combinatorics |
M431 |
Texas A&M |

Fall 2011 |
Directed Studies |
M685 |
Texas A&M |

Summer 2011 |
Directed Studies |
M685 |
Texas A&M |

Spring 2011 |
Seminar in Analysis (topics in ergodic theory) |
M633 |
Texas A&M |

Fall 2010 |
Introduction to Probability Theory |
M411 |
Texas A&M |

Fall 2010 |
Engineering Calculus III |
M251 |
Texas A&M |

Spring 2010 |
Advanced Engineering Mathematics |
M401 |
Texas A&M |

Spring 2010 |
Engineering Calculus III |
M251 |
Texas A&M |

Spring 2009 |
Graduate Real Analysis II |
M632 |
University of Hawai'i |

Fall 2009 |
Graduate Real Analysis I |
M631 |
University of Hawai'i |

Fall 2009 |
Calculus IV |
M244 |
University of Hawai'i |

Spring 2008 |
Introduction to Discrete Mathematics (for education majors) |
M301 |
University of Hawai'i |

Fall 2007 |
Calculus I |
M241 |
University of Hawai'i |

Fall 2007 |
Calculus for Business and Social Sciences |
M203 |
University of Hawai'i |

Summer 2007 |
Probability Theory |
Mf362K |
UT Austin |

Spring 2007 |
Calculus III |
M311 |
Indiana University |

Fall 2006 |
Finite Mathematics (two sections) |
M118 |
Indiana University |

Spring 2006 |
Complex Analysis |
M415 |
Indiana University |

Spring 2006 |
Calculus III |
M311 |
Indiana University |

Fall 2005 |
Calculus I (two sections) |
M211 |
Indiana University |

Spring 2005 |
Numerical Analysis (for education majors) |
M371 |
Indiana University |

Fall 2004 |
Calculus I (two sections) |
M211 |
Indiana University |

Summer 2004 |
Calculus II |
M212 |
Indiana University |

Spring 2004 |
Probability Theory |
M131 |
UC Davis |

Winter 2004 |
Differential Equations |
M22B |
UC Davis |

Fall 2003 |
Calculus I |
M21A |
UC Davis |

Spring 2003 |
Differential Geometry |
M116 |
UC Davis |

Winter 2003 |
Linear Algebra |
M22A |
UC Davis |

Fall 2002 |
Calculus I |
M21A |
UC Davis |

Summer 2001 |
Coordinate Geometry |
M305G |
UT Austin |