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Identification

Personal identification

Full name
Sean Lawton

Citation names

  • Lawton, Sean

Author identifiers

Ciência ID
3115-01C0-F814
ORCID iD
0000-0002-7186-3255
Education
Degree Classification
2000/09/01 - 2006/05/01
Concluded
 Mathematics (Doktor (PhD))
University of Maryland, United States
Projects

Grant

Designation Funders
2018/09/01 - 2023/08/31 Experiments with Representation Spaces
578286
Principal investigator
Simons Foundation, United States
Concluded
2012/09/01 - 2018/08/31 Topology and Algebra of Character Varieties
245642
Principal investigator
Simons Foundation, United States
Concluded
2013/08 - 2016/07 Applications of Non-Commutative Algebra to Character Varieties
1309376
 National Science Foundation
Outputs

Publications

Book chapter
  1. "Character Varieties and the Moduli of Quiver Representations". In In the Tradition of Ahlfors-Bers, VI. 2013.
    10.1090/conm/590
  2. "Spin networks and SL(2,C)-Character varieties". 2009.
    10.4171/055
Journal article
  1. Carlos Florentino; Sean Lawton. "Flawed groups and the topology of character varieties". Topology and its Applications (2024): https://doi.org/10.1016/j.topol.2023.108756.
    10.1016/j.topol.2023.108756
  2. "Dynamics on nilpotent character varieties". Conform. Geom. Dyn. (2022): https://arxiv.org/abs/2111.11922.
    https://doi.org/10.1090/ecgd/376
  3. "Bad Representations and Homotopy of Character Varieties". The Annales Henri Lebesgue (2022): https://ahl.centre-mersenne.org/page/coming-articles/.
    10.5802/ahl.119
  4. "Poisson maps between character varieties: gluing and capping". J. Symplectic Geom. (2022):
    https://dx.doi.org/10.4310/JSG.2022.v20.n6.a2
  5. WILLIAM M. GOLDMAN; SEAN LAWTON; EUGENE Z. XIA. "The mapping class group action on -character varieties". Ergodic Theory and Dynamical Systems (2021): 1-15. https://doi.org/10.1017/etds.2020.50.
    10.1017/etds.2020.50
  6. Biswas, I.; Lawton, S.; Ramras, D.. "Wonderful compactification of character varieties". Pacific Journal of Mathematics 302 2 (2019): 413-435. http://www.scopus.com/inward/record.url?eid=2-s2.0-85077048253&partnerID=MN8TOARS.
    10.2140/pjm.2019.302.413
  7. Caleb Ashley; Jean-Philippe Burelle; Sean Lawton. "Rank 1 character varieties of finitely presented groups". Geometriae Dedicata (2018): https://doi.org/10.1007/s10711-017-0281-6.
    10.1007/s10711-017-0281-6
  8. Athreya, J.; Dumas, D.; Goldman, W.; Grigorian, S.; Guzman, R.; Hieronymi, P.; Lawton, S.; et al. "Geometry labs united: An invitation". Notices of the American Mathematical Society 65 9 (2018): 1088-1094. http://www.scopus.com/inward/record.url?eid=2-s2.0-85055529517&partnerID=MN8TOARS.
    10.1090/noti1733
  9. Lawton, S.; Louder, L.; McReynolds, D.B.. "Decision problems, complexity, traces, and representations". Groups, Geometry, and Dynamics 11 1 (2017): 165-188. http://www.scopus.com/inward/record.url?eid=2-s2.0-85019894680&partnerID=MN8TOARS.
    10.4171/GGD/393
  10. Lawton, S.; Sikora, A.S.. "Varieties of Characters". Algebras and Representation Theory 20 5 (2017): 1133-1141. http://www.scopus.com/inward/record.url?eid=2-s2.0-85015688209&partnerID=MN8TOARS.
    10.1007/s10468-017-9679-y
  11. Gongopadhyay, K.; Lawton, S.. "Invariants of pairs in SL(4, C) and su(3, 1)". Proceedings of the American Mathematical Society 145 11 (2017): 4703-4715. http://www.scopus.com/inward/record.url?eid=2-s2.0-85029593059&partnerID=MN8TOARS.
    10.1090/proc/13638
  12. Florentino, C.; Lawton, S.; Ramras, D.. "Homotopy groups of free group character varieties". Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17 1 (2017): 143-185. http://www.scopus.com/inward/record.url?eid=2-s2.0-85010816359&partnerID=MN8TOARS.
  13. Sean Lawton; Christopher Manon. "Character varieties of free groups are Gorenstein but not always factorial". Journal of Algebra 456 (2016): 278-293. https://doi.org/10.1016/j.jalgebra.2016.01.044.
    10.1016/j.jalgebra.2016.01.044
  14. Lawton, S.; Muñoz, V.. "E-polynomial of the SL(3,C)-character variety of free groups". Pacific Journal of Mathematics 282 1 (2016): 173-202. http://www.scopus.com/inward/record.url?eid=2-s2.0-84959868534&partnerID=MN8TOARS.
    10.2140/pjm.2016.282.173
  15. Casimiro, A.; Florentino, C.; Lawton, S.; Oliveira, A.. "Topology of moduli spaces of free group representations in real reductive groups". Forum Mathematicum 28 2 (2016): 275-294. http://www.scopus.com/inward/record.url?eid=2-s2.0-84962542839&partnerID=MN8TOARS.
    10.1515/forum-2014-0049
  16. Biswas, I.; Lawton, S.. "Fundamental group of moduli spaces of representations". Geometriae Dedicata 178 1 (2015): 135-141. http://www.scopus.com/inward/record.url?eid=2-s2.0-84942193824&partnerID=MN8TOARS.
    10.1007/s10711-015-0048-x
  17. Biswas, I.; Lawton, S.; Ramras, D.. "Fundamental groups of character varieties: surfaces and tori". Mathematische Zeitschrift 281 1-2 (2015): 415-425. http://www.scopus.com/inward/record.url?eid=2-s2.0-84939575158&partnerID=MN8TOARS.
    10.1007/s00209-015-1492-x
  18. Lawton, S.; Ramras, D.; Ho, N.-K.; Liu, C.-C.M.. "Covering spaces of character varieties". New York Journal of Mathematics 21 (2015): 383-416. http://www.scopus.com/inward/record.url?eid=2-s2.0-84934955899&partnerID=MN8TOARS.
  19. "Homotopy type of free group character varieties". Boletim da Sociedade Portuguesa de Matem\'atica, Special Issue, 53--57, 2016 (2014):
  20. Biswas, I.; Florentino, C.; Lawton, S.; Logares, M.. "The topology of parabolic character varieties of free groups". Geometriae Dedicata 168 1 (2014): 143-159. http://www.scopus.com/inward/record.url?eid=2-s2.0-84893650511&partnerID=MN8TOARS.
    10.1007/s10711-012-9822-1
  21. Florentino, C.; Lawton, S.. "Topology of character varieties of Abelian groups". Topology and its Applications 173 (2014): 32-58. http://www.scopus.com/inward/record.url?eid=2-s2.0-84901377528&partnerID=MN8TOARS.
    10.1016/j.topol.2014.05.009
  22. Cavazos, S.; Lawton, S.. "E-polynomial of SL2(C) -character varieties of free groups". International Journal of Mathematics 25 6 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84903513414&partnerID=MN8TOARS.
    10.1142/S0129167X1450058X
  23. Florentino, C.; Lawton, S.. "Singularities of free group character varieties". Pacific Journal of Mathematics 260 1 (2012): 149-179. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872825760&partnerID=MN8TOARS.
    10.2140/pjm.2012.260.149
  24. Lawton, S.; Peterson, E.. "Computing SL(2,C) central functions with spin networks". Geometriae Dedicata 153 1 (2011): 73-105. http://www.scopus.com/inward/record.url?eid=2-s2.0-79960066655&partnerID=MN8TOARS.
    10.1007/s10711-010-9557-9
  25. Lawton, S.. "Algebraic independence in SL(3,C) character varieties of free groups". Journal of Algebra 324 6 (2010): 1383-1391. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955267205&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2010.06.023
  26. Lawton, S.. "Obtaining the one-holed torus from pants: Duality in an SL(3, C)-character variety". Pacific Journal of Mathematics 242 1 (2009): 131-142. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349774267&partnerID=MN8TOARS.
    10.2140/pjm.2009.242.131
  27. Lawton, S.. "Poisson geometry of SL(3,C)-character varieties relative to a surface with boundary". Transactions of the American Mathematical Society 361 5 (2009): 2397-2429. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349766461&partnerID=MN8TOARS.
    10.1090/S0002-9947-08-04777-6
  28. Florentino, C.; Lawton, S.. "The topology of moduli spaces of free group representations". Mathematische Annalen 345 2 (2009): 453-489. http://www.scopus.com/inward/record.url?eid=2-s2.0-70350018109&partnerID=MN8TOARS.
    10.1007/s00208-009-0362-4
  29. Lawton, S.. "Minimal affine coordinates for SL (3, C) character varieties of free groups". Journal of Algebra 320 10 (2008): 3773-3810. http://www.scopus.com/inward/record.url?eid=2-s2.0-53549115905&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2008.06.031
  30. Lawton, S.. "Generators, relations and symmetries in pairs of 3 × 3 unimodular matrices". Journal of Algebra 313 2 (2007): 782-801. http://www.scopus.com/inward/record.url?eid=2-s2.0-34248663286&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2007.01.003
Preprint
  1. "Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus". 2022. https://arxiv.org/abs/2206.14183.
    10.48550/ARXIV.2206.14183
  2. "Mixed Hodge structures on character varieties of nilpotent groups". 2021. https://arxiv.org/abs/2110.07060.
Thesis / Dissertation
  1. "SL(3,C)-Character Varieties and RP2-Structures on a Trinion". 2006.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2016/09/01 - 2022/05/01 Stratification and Arithmetic Dynamics on Character Varieties
Supervisor
 Mathematics (PhD)
George Mason University, United States
2013/09/01 - 2019/05/01 Stability And Classification Of Polygon Spaces
Supervisor
 Mathematics (PhD)
George Mason University, United States
Distinctions

Award

2020 Teaching Excellence Award
George Mason University, United States
2020 Mentoring Excellence Award
George Mason University, United States