1. On the girth of finitely generated groups. Journal of Algebra, 268, 2003, no.1, 198-208
2. The girth of groups satisfying Tits Alternative. Journal of Algebra, 287, 2005, no.2, 275-282
3. Traveling salesman problem in groups. Contemporary Mathematics, vol.372, American Math. Soc. Providence, RI 2005.
4. Perturbations
of wreath products and quasi-isometric rigidity I. International Mathematics Research
Notices (IMRN), vol.2008 (2008), (18 pages)
5. On
free discrete subgroups of Diff(I). Algebraic and
Geometric Topology, vol.10, no.4, (2010) 2409-2418. pdf
6. Free limits of Thompson's group F. Geometriae Dedicata, vol.155, no.1, (2011) 163-176. with M.Stein and J.Taback pdf
7. A weak Zassenhaus lemma for discrete subgroups of Diff(I) Algebraic and Geometric Topology, vol.14, no.1, (2014) 539-550. pdf
8.
Chordal and timbral morphologies using
Hamiltonian cycles. Journal of Mathematics and
Music, vol.8, no 1, (2014), 1-24. with M.Winter
pdf
9. Questions and remarks on discrete and dense subgroups of Diff(I). Journal of Topology and Analysis, vol. 6, no. 4, (2014), 557-571 pdf
10. Balance in random trees. Open Journal of Discrete Mathematics, vol.4, no.4, (2014), 97-108. with W.Shreve pdf
11. Some applications of Holder's theorem in
groups of analytic diffeomorphisms of one-manifolds Topology and its
Applications vol.180, (2015) 85-90. with
M.Cohen
pdf
12. Good
modulating sequences for the ergodic Hilbert transform. Turkish Journal of Mathematics vol.39 (2015) 124-138 with D.Comez pdf
13. On the height of subgroups of Homeo(I) Journal of Group Theory vol. 18, no 1, (2015) 93-108 pdf
14. Cayley graphs with an infinite Heesch
number. The Electronic Journal of Combinatorics. vol.23 (1) 2016. pdf
15. Extension
of Holder's Theorem in Diff^{1+\epsilon }(I) Ergodic Theory & Dynamical Systems vol.36, no 5, (2016), 1343-1353. pdf
16. Groups not acting on Compact MetricSpaces by
Homeomorphisms New York Journal of Mathematics, vol 23, 2017, 1321-1325. pdf
17. Existence and genericity of finite topological
generating sets for homeomorphism groups. Indiana University Mathematics Journal, 68 (2019) 1833-1848.
pdf
with M.Cohen
18. Arithmetic sets in groups, Mathematische Zeitschrift, 292, (2019), 1195–1206
pdf with Damiano Fulghesu
19. Girth
alternative for subgroups of PL(I) pdf
20. On dense
subgroups of Homeo(I) pdf
21. Groups of diffeomorphisms of the
interval with finitely many fixed points I pdf
22. Groups of diffeomorphisms of the
interval with finitely many fixed points II pdf
23. Amenable subgroups of Homeo(R) with
large characterizing quotients. pdf
24. A new metric criterion for
non-amenability I
25. Roots of homeomorphisms: existence,
uniqueness and convergence with M.Cohen and D.Comez
26. Finiteness of the topological rank of
diffeomorphism groups of compact manifolds. pdf
27. Non-bi-orderability of 6_2 and 7_6. with Cody Martin pdf
Refereed
for: 1. Annals of Mathematics 2. Journal of AMS 3.
Algebraic and Geometric Topology
4.
Osaka Journal of Mathematics 5.
Topology and its Applications
6.
Groups, Geometry and Dynamcis
7.
Contemporary Mathematics. 8. Open Journal of Discrete
Mathematics 9. Annales de Tolouse
Besides,
I have refereed several (at least three) well known unsubmitted preprints.
Reviewer
for Zentralblatt.
Undergraduate Courses:
1. Calculus I (Yale, NDSU)
2.
Calculus II (Yale)
3.
Calculus III (Yale, UCSB, NDSU)
4.
Calculus for Social and Life Sciences (UCSB)
5.
Linear Algebra (NDSU)
6.
Introduction to Differential Equations (UCSB, NDSU)
7.
Transition to a higher mathematics/Abstract Mathematics (UCSB, NDSU)
8.
Combinatorics (UCSB)
9.
Introduction to Group Theory (UCSB)
10.
Real Analysis (UCSB, NDSU)
11.
Introduction to Topology (NDSU)
12.
Metric Space Topology (NDSU)
13.
Introduction to Graph Theory (UCSB)
14.
Introduction to Number Theory I, II (UCSB)
15.
Complex Analysis (NDSU)
16.
Differential Geometry (NDSU)
Graduate Courses:
17.
Algebraic Topology (NDSU)
18.
Introduction to Differential Topology (NDSU)
19.
Topics in Smooth Dynamics (NDSU)
20.
Topics in Lie Groups (NDSU)
21.
Introduction to Riemannian Geometry (NDSU)
22.
Introduction to Knot Theory (NDSU)
23.
3-manifolds (NDSU)
24.
Lattices of Lie groups (NDSU)
25.
Groups and Fractals (reading course, NDSU)
26.
Knot Groups (reading course, NDSU)
