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Presentations & Conferences
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Organizing:
1. AMS Special Session on Character Varieties at the 2009 Joint Mathematics Meetings
(with Elisha Peterson).
Speaking at:
27. Colloquium at University of Texas, Pan American, "An introduction to Character
Varieties" [February 19, 2009]
26. Geometry Seminar at Howard University,
"The topology of the moduli of free group representations" [February 11, 2009]
25. Colloquium at Eastern Illinois Univeristy, "An introduction to Character Varieties" [February 9, 2009]
24. Colloqium at University of Dayton, "An
introduction to Character Varieties" [February 3, 2009]
23. Geometria em Lisboa
Seminar at IST [Jan. 15, 2009]
22. Special Session on Character Varieties at the JMM [Jan. 8, 2009]
21. Geometry Seminar at UMCP [October 6, 2009]
20. Algebra Seminar at IST [07/15/08]
19. ENSPM2008 , "On the topology of the moduli of free group representations" [June 26, 2008]
18. Special seminar at Brooklyn College, "A picture book of the topology of some character varieties" [April 7, 2008]
17. Colloquium at Saint Louis University, "Some recent results on character varieties of surface groups" [March 10, 2008]
16. Geometria em Lisboa Seminar at IST [11/20/07]
15. Geometry and Topology Seminar at Universidade do Porto [11/09/2007]
14. Algebra Seminar at IST
[10/11/07]
13. KAIST Geometry and Topology Fair in Daejeon, Korea [7/9/07-7/13/07]
12. Algebra Seminar at KSU [4/23/07, 4/30/07]
11. Geometry, Topology & Physics Seminar at KSU [4/9/07]
10. Geometry & Topology Seminar at McMaster University [2/27/07][Slides]
9. AMS Special Session on Invariant Theory in New Orleans, LA [1/6/07] [Slides]
8. Geometry, Topology & Physics Seminar at KSU [11/6/06]
7. AMS Special Session on Algebraic Geometry and Moduli Spaces in Storrs, CT[10/29/06]
6. AMS Special Session on Low Dimensional Topology and Geometry in Salt Lake City, UT [10/8/06]
5. PCMI in Park City, UT [7/7/06]
4. Geometria em Lisboa Seminar at IST [6/7/06]
3. Colloquium at KSU [5/11/06]
2. Knots in Washington XXII at GWU, Washington DC [5/7/06]
1. Student Topology Conference at IU [4/1/06]
Attending:
8. Conference on vector bundles in honour of S. Ramanan at Miraflores de la Sierra (Madrid, Spain) [16-20 June 2008]
7. International School on Geometry and Physics at CIEM (Cantabria, Spain) [25-29 Feb. 2008]
6. Minicourse at Universidade do Porto by Peter Newstead on Moduli of Vector Bundles on Algebraic Curves [Oct.15,18,19, 2007]
5. AIM Workshop on Surface Group Representations (Particpants)
[3/19/07-3/23/07]
4. PCMI as research participant in Park City, UT [6/25/06-7/8/06]
3. Midwest Topology Conference at IU [10/21/06-10/22/06]
2. Barrett Lectures at UT, Knoxville
1. Joint Meetings in San Antonio, TX [1/12/06-1/15/06]
Visiting:
1. Departamento de Matematica at IST [6/4/06-6/11/06]
2. Departamento de Matematica at IST [1/9/09-1/21/09]
3. Departamento de Matematica at IST [5/19/09-1/25/09]
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e-Prints
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e-Prints:
1. Spin Networks and SL(2,C)-Character Varieties (with E. Peterson)
[arXiv] [Handbook of Teichmüller Theory II] [Citations]
2. Generators, Relations and Symmetries in Pairs of 3x3 Unimodular Matrices
[arXiv] [Journal of
Algebra][Citations1, 2]
3. SL(3,C)-Character Varieties and RP2-Structures on a Trinion (PhD Thesis)
[DRUM]
[
ProQuest][Citations]
4. Poisson Geometry of SL(3,C)-Character Varieties Relative to a Surface with Boundary
[arXiv][Transactions of
the AMS][Citations]
5. Minimal Affine Coordinates for SL(3,C) Character Varieties of Free Groups
[arXiv][
Journal of Algebra][Citations]
6. Algebraic Independence in SL(3,C) Character Varieties of Free Groups
[arXiv][submitted]
7. Obtaining the One-Holed Torus from the Pair-of-Pants: Duality in an SL(3,C)-Character Variety
[arXiv][accepted Pacific Journal of Mathematics]
8. The topology of moduli spaces of free group representations (with C. Florentino)
[arXiv][Mathematische Annalen][Citations]
9. Computing with SL(2,C) Central Functions with Spin Networks (with E. Peterson)
[arXiv][submitted]
10. Outer Automorphisms and Permuting Parameters of SL(3,C)-Character Varieties of Free groups
(work in progress)
11. Singularities of free group character varieties (with C. Florentino)
[arXiv]
12. Ergodicity of mapping class group actions on SU(3)-character varieties. (with W. Goldman)
(work in progress)
Collaborations:
1. Collaboration Wiki
2. Member of Algebraic Geometry in Portugal.
AMS Math Reviews:
1. Review of Towards non-reductive geometric invariant theory, by Doran and
Kirwan
2. Review of The order of algebras with nontrivial fixed point subalgebras, by
Kures and Sehnal
3. Review of Some applications of universal holomorphic motions, by Jiang and
Mitra
4. Review of Invariants of 2x2 matrices, irreducible SL(2,C) characters and the Magnus
trace map, by Florentino
5. Review of On symmetric, smooth and Calabi-Yau algebras, by Braun
6. Review of Rationality problem of three-dimensional purely monomial group actions: the last case,
by
Hoshi, A.
and
Rikuna, Y.
7. Review of End invariants for SL(2,C) characters of the one-holed torus, by Tan, S., Wong, Y.,
and Zhang, Y.
8. Review of Yang-Mills connections on nonorientable surfaces, by Ho, Nan-Kuo & Liu, Chiu-Chu
Mathematica Code:
1.Notebook to compute rank 1, 2, and 3 SL(2,C)-central functions. This program is to be
used with the paper Computing with SL(2,C) Central Functions.
2. Notebook to reduce trace formulas to minimal generators in SL(3,C) character varieties of free groups (coming soon).
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Professional Documents |
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Teaching
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