Hamiltonian checkerboards
August 2023 at Gallianfest in Duluth
PDF file
other talks on related subjects:
Hamiltonian checkerboards
November 2011 at the University of Lethbridge
May 2010 at the
University of Manitoba
(Prairie
Discrete Mathematics Conference)
PDF file
Hamiltonian cycles in Cayley graphs
August 2005 at the University of Winnipeg
(Prairie Discrete Mathematics
Conference)
PDF file
Open problems on hamiltonian cycles in Cayley graphs
June 2006 in Minisymposium in SIAM conference
at University of Victoria
PDF file
Hamiltonian cycles in circulant graphs and digraphs
May 2004 at the University of Lethbridge
(Combinatorics Day)
PDF file
Which flows are sums of
hamiltonian cycles in abelian Cayley graphs?
(joint work with Joy Morris and David
Petrie Moulton )
May 2003 in Koper, Slovenia (Algebraic Combinatorics on the Adriatic
Coast)
PDF file
Hamiltonian paths in cartesian powers
of directed cycles
(joint work with David Austin and Heather Gavlas)
November 2002 at the University of Lethbridge
PDF file
Some lattice subgroups that cannot act on the line (after Deroin and Hurtado)
December 2022 at ICTS Bengaluru (online)
PDF file
On vertex-transitive graphs with a unique hamiltonian circle
June 2023 at the Alberta-Montana Combinatorics & Algorithms Days in Banff
October 2022 at the University of Lethbridge
PDF file
Automorphisms of direct products of some circulant graphs
September 2022 in University of Waterloo's Algebraic Graph Theory Seminar (online)
PDF file
August 2021 in the Prairie Discrete Mathematics Workshop (Lethbridge)
June 2021 in minisymposium at European Congress of Mathematians (online)
November 2020 at the University of Lethbridge
PDF file
The commensurability criterion for arithmeticity (after Margulis)
March-April 2019 at the University of Virginia
PDF file
Lattices in Lie groups
January 2019 at CIRM (Luminy, France)
PDF
file
Introduction to arithmetic groups
February 2020 at University of Auckland, New Zealand
PDF
file
another series of talks on a similar subject:
January
2010 at KAIST in Daejeon, Korea (three 1.5-hour lectures)
PDF
file
a more elementary talk on a similar subject:
Introduction to arithmetic groups
December 2014 at University of Lethbridge
PDF
file
Cayley graphs of order kp
are hamiltonian for k < 48
October 2018 at U of Lethbridge
PDF file
Quasi-isometric bounded generation by Q-rank-one subgroups
February 2021 at U of Lethbridge
February 2020 at U of Auckland, New Zealand
March 2019 at U of Manitoba
May 2018 at U of Virginia
May 2018 at U of Chicago
January 2018 at IPAM (UCLA)
PDF file version
1
PDF file
version 2
What does the first row of an
invertible matrix look like?
March 2018 at Wesleyan University
PDF file
Strictly convex norms on amenable
groups
July 2017 at the University of Regensburg (Germany)
April 2016 at the University of Virginia November 2013 at
University of Utah
March 2013 at South Padre Island, Texas (Geometric Groups on the Gulf
Coast)
April 2012 at University of Lethbridge
March 2012 at University of Chicago
March 2012 at Indiana University
March 2012 at Purdue University
Lecture 1: Strictly convex norms on abstract
groups (PDF file)
Lecture 2: Strictly convex norms on amenable
groups (PDF file)
Condensed version (PDF
file)
Groups of polynomial growth (after Gromov, Kleiner, and
Shalom-Tao)
May 2017 at the University of Chicago
April 2016 at the University of Virginia
PDF
file
Introduction to model-theoretic methods for proofs of bounded
generation
April 2017 at the University of Virginia
PDF file
Hamiltonian paths in projective checkerboards
October 2016 at the University of Lethbridge
PDF
file
Infinitely many nonsolvable groups whose Cayley graphs are
hamiltonian
June 2016 at Canadian Math Society in Edmonton
PDF file
Horospherical limit points of locally symmetric spaces
June 2016 at Newcastle University, UK
PDF
file
Arithmetic subgroups whose representations all map into GL(n,Z)
August 2015 at the Wasatch Topology Conference (Park
City, Utah)
May 2015 at Stanford University
May 2015 at the University of Chicago
February 2015 at Institute for Pure and Applied Mathematics (UCLA)
PDF
file
Hamiltonian cycles in some easy Cayley graphs
On hamiltonian cycles in Cayley graphs with commutator subgroup of order pq Vanishing of first cohomology for arithmetic subgroups of
higher real rank
(after G. A. Margulis)
May 2014 at University of Chicago
PDF file
What is a Coxeter Group?
October 2013 at University of Lethbridge
PDF file
Introduction to Bruhat-Tits buildings
October 2013 at University of Chicago
PDF file
Arithmetic subgroups of SL(n,R)
August 2013 in Jeonju, South Korea (KAIST Geometric Topology Fair)
May 2013 at University of Chicago
PDF file
SL(n,Q) has no volume-preserving
actions on (n-1)-dimensional compact manifolds
August 2013 at Seoul National University
May 2013 at the University of Chicago
March 2013 at Rice University
July 2012 at Oberwolfach
PDF file
Introduction to vertex-transitive
graphs of prime-power order
March 2013 at the University of Lethbridge
PDF
file
Hamiltonian paths in solvable
Cayley digraphs
October 2012 at the University of Lethbridge
July 2011 in Regina
June 2011 in Bled (7th Slovenian International Conference on Graph
Theory)
PDF
file
Dani's contributions to ergodic
theory on homogeneous spaces
December 2007 at Tata Institute in Mumbai, India
PDF file
Which circulant digraphs are hamiltonian?
June 2007 in Koper, Slovenia
PDF file
Bounded generation of special linear groups (after
Carter, Keller, and Paige)
April 2008 at Vanderbilt University
June 2005 at workshop in Banff
PDF file
Actions of arithmetic groups on the circle
April 2005 at the University of Illinois,
Chicago
PDF file
Some arithmetic groups that cannot act on the line
(joint work with Lucy Lifschitz and Vladimir Chernousov)
Alternate titles:
Some arithmetic groups that cannot act on the circle,
Some arithmetic groups that cannot act on 1-manifolds,
Some arithmetic groups that cannot be right ordered
March 2012 at Purdue University
April 2010 at the University of Virginia
December 2009 at the University of Lethbridge
April 2008 at Vanderbilt University
February 2008 at the University of Virginia
January 2008 at Mississippi State University
January 2008 at the University of Texas
July 2007 at the University of Minnesota, Duluth
March 2007 at the University of British Columbia
July 2006 at Oberwolfach, Germany
March 2006 at the University of Hawaii
November 2005 at Texas A&M University
March 2005 at AMS meeting in Lubbock, Texas
March 2005 at Princeton University
March 2005 at AMS meeting in Newark, Delaware
March 2005 at Rice University
February 2005 in Auckland, New Zealand
November 2004 at the University of Alberta
November 2004 at Lorentz Dynamics Workshop in Banff
August 2004 at Alberta Topology Seminar in Banff
June 2004 at Caltech
April 2004 at the University of Regina
PDF fileSome arithmetic groups that cannot act on the circle
Some arithmetic groups that cannot act on the circle
(alternate title: Arithmetic groups that cannot be right-ordered )
December 2001 at Tata Institute (Mumbai, India)
February 2002 at Case Western Reserve University and Virginia Tech
PDF file
March 2002 at Les Diablerets, Switzerland
PDF fileSL(3,Z) cannot act continuously on the circle
October 1998 at the Ecole Normale Superieure - Lyon (France)
PDF fileActions of semisimple Lie groups on circle bundles
(joint work with Robert J. Zimmer)
May 2000 at the Newton Institute (Cambridge, UK)
March 2000 at the University of Manchester, England
PDF file
Cocompact Lattices
January 2006 in Workshop
on Property RD
at the American Institute of Mathematics, Palo Alto
PDF file
Geometric interpretation of the Q-rank of a locally symmetric
space
May 2004 at AMS/SMM Meeting in Houston
(joint work with Pralay Chatterjee)
PDF file
another talk on a related subject:
Orbits of Cartan subgroups
on homogeneous spaces
(after George Tomanov and Barak Weiss)
December 2001 at Tata Institute (Mumbai,
India)
PDF file
Real representations of sp(n) have Q-forms
April 2003 at the University of North Carolina
PDF file
another talk on a related subject:
Q-forms of real representations of compact semisimple Lie groups
(after Raghunathan and Eberlein)
October 2001 at OSU
PDF file
Gromov and Piatestski-Shapiro's Nonarithmetic Lattices in
SO(1,n)
September 2002 at Oklahoma State University
PDF file
Some ideas in the proof of Ratner's Theorem
(alternate title: An Introduction to Unipotent Flows)
September 2007 at Pennsylvania State University
January 2007 at University of Calgary
July 2002 at ETH, Zurich
June 2002 at the University of Chicago
February 2000 at the Newton Institute (Cambridge, UK)
previously at a few other universities
PDF file
Ergodic actions of semisimple Lie groups on compact
principal bundles
(joint work with Robert J. Zimmer)
April 2001 at the University of Illinois, Chicago
PDF file
Rigidity of some characteristic-p nillattices
(joint work with Lucy Lifschitz)
June 2000 at the Newton Institute (Cambridge, UK)
PDF file
What is a superrigid subgroup?
(alternate title: Superrigid
subgroups of solvable Lie groups)
September 2015 at the
University of Lethbridge
November 2013 at U of Utah and Idaho State U
April 2002 at the University of Regina, Canada
February 2002 at Virgina Tech
May 2000 at the University of Birmingham, England
PDF file
Other talks on the same subject:
More elementary: What
is a superrigid subgroup? (August 1997 at the MAA Mathfest, Atlanta)
More advanced: Superrigid
subgroups of solvable Lie groups (April 1999 at the U of Chicago)
Tessellations of homogeneous spaces of SU(2,n)
(joint work with Alessandra Iozzi and Hee Oh
)
March 2000 at the Newton Institute (Cambridge, UK)
PDF file
Cartan-decomposition subgroups
(joint work with Hee Oh and Alessandra Iozzi
)
September 1999 at the University of Michigan
PDF file
Transitive permutation groups of prime-squared degree
(joint work with Edward Dobson)
May 1999 Group Theory Junior Seminar at the University of
Chicago
PDF file
Foliation-preserving maps between solvmanifolds
(joint work with Holly Bernstein)
March 1998 at Kansas State University AMS meeting
PDF file
Simple groups of real rank at least two have Kazhdan's
property T
January 28, 1998 Lie Groups Seminar at Oklahoma State
University
PDF file
Introduction to Kazhdan's property T
January 21, 1998 Lie Groups Seminar at Oklahoma State
University
PDF file