Montserrat Teixidor i Bigas

Montserrat Teixidor i Bigas is a professor of Mathematics at Tufts University in Medford, Massachusetts[1]. She specializes in Algebraic geometry especially Moduli of Vector Bundles on Curves.[2]

In 1986, she earned her PhD at the University of Barcelona in 1986 where she wrote her dissertation, "Geometry of linear systems on algebraic curves", under the supervision of Gerard Eryk Welters.[3] She worked in the Department of pure mathematics at the University of Liverpool, UK, where in 1988 she wrote "The divisor of curves with a vanishing theta-null",[4] which was published in Compositio Mathematica.

In 1997, she proved Lange's conjecture for the generic curve, with Barbara Russo, which states that "If , then there exist stable vector bundles with ." They also clarified what happens in the interval using a degeneration argument to a reducible curve.[5]

She took up an appointment as an Associate Professor of Mathematics at Tufts University, and has been on the faculty of Tufts since 1989. She has been a reviewer for several journals, including the Bulletin of the American Mathematical Society, the Duke Mathematical Journal, and the journal of algebraic geometry. She has held visiting positions at Brown University and the University of Cambridge[6]. She was also a co-organizer of the Clay Institute's workgroup on Vector Bundles on Curves.[7]

In 2004, she spent a year at Radcliffe College, Harvard as a Vera M. Schuyler Fellow, devoting her time to study of "the interplay between the geometry of curves and the equations defining them."[8]

Selected publications
  • Montserrat Teixidor i Bigas, "Brill-Noether theory for vector bundles," Duke Math. J. Volume 62, Number 2 (1991), 385-400.[9]
  • Montserrat Teixidor i Bigas Curves in Grassmannians, Proc. Amer. Math. Soc. 126 (1998), no. 6, 1597–1603[10]
  • Montserrat Teixidor i Bigas "Green's conjecture for the generic -gonal curve of genus ," Duke Math. J. 111 (2002), no. 2, 195–222.
  • Montserrat Teixidor i Bigas Existence of coherent systems, Internat. J. Math. 19 (2008), no. 4, 449–454.[11]
  • Ivona Grzegorczyk, Montserrat Teixidor i Bigas, Brill-Noether theory for stable vector bundles, Moduli spaces and vector bundles, 29–50, London Math. Soc. Lecture Note Ser., 359, CUP, Cambridge (2009)[12]
  • Montserrat Teixidor i Bigas, Vector bundles on reducible curves and applications, Clay Mathematics Proceedings (2011) [13]
  • Tawanda Gwena, Montserrat Teixidor i Bigas, Maps between moduli spaces of vector bundles and the base locus of the theta divisor[14]
  • Brian Osserman, Montserrat Teixidor i Bigas Linked alternating forms and linked symplectic Grassmannians, Int. Math. Res. Not. IMRN 2014, no. 3, 720–744.[15]
gollark: Probably. I may not have enough free RAM.
gollark: Having to go from the lobby to TC2020 is very annoying.
gollark: That too. It's all lit with glowstone nanoparticles.
gollark: Meanwhile, my bunker- has a forcefield entirely protecting it- has no hidden cable ducts or places to hide- ... probably can be teleported into, I haven't made any defense against that- does not really have one ultra-vulnerable point- can craft many components of itself
gollark: - There are invulnerable forcefields on some bits, but you can just dig around them- There are endless hidden cable ducts and Contingency Theta tunnels in it, so people can sneak through- You can teleport in basically everywhere- If someone gets into the control room with its unlabelled button panel, they can deploy lava, disable the generators, enable forcefields and whatnot, and there's no password or anything- There's no equipment in it which lets it replace damaged bits

References
  1. "Montserrat Teixidor i Bigas | Tufts University - Graduate Programs". asegrad.tufts.edu. Retrieved 2019-05-07.
  2. People Montserrat Teixidor i Bigas
  3. Mathematics Genealogy Project
  4. The divisor of curves with a vanishing theta-null
  5. On Lange's Conjecture
  6. "Montserrat Teixidor i Bigas". Radcliffe Institute for Advanced Study at Harvard University. 2012-03-16. Retrieved 2019-05-07.
  7. Montserrat Teixidor-i-Bigas
  8. FELLOW Montserrat Teixidor i Bigas
  9. Brill-Noether theory for vector bundles, Duke Math. J. (1991)
  10. Curves in Grassmannians, PAMS, 126 (1998), no. 6, 1597–1603
  11. Existence of coherent systems, IJM, 19 (2008), no. 4, 449–454.
  12. Moduli spaces and vector bundles, London Math. Soc. Lecture Note Ser., 359, Cambridge (2009)
  13. Vector bundles on reducible curves and applications, Clay Mathematics Proceedings (2011)
  14. Maps between moduli spaces of vector bundles and the base locus of the theta divisor
  15. Linked alternating forms and linked symplectic Grassmannians, IMRN (2014), no. 3, 720–744.
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