Lubjana Beshaj


Address:      RLM 13.142
                     Department of Mathematics 
                     The University of Texas at Austin
                        Austin, Texas, 78712

Email:               beshaj@math.utexas.edu
Office Hrs:        MWF: 5:00pm -6:00 pm



Research

Research Areas
       
Algebraic and arithmetic geometry, minimal models of curves, arithmetic of superelliptic curves, moduli space of curves, cybersecurity in automotive industry.

PhD advisor:   T. Shaska


Papers and Preprints

Editorial
  • Advances on Superelliptic Curves and Their Applications, edited by T.Shaska, E.Zhupa, L.Beshaj, NATO Science for Peace and Security Series D: Information and Communication Security, IOS Press, Amsterdam 2015.                                                                              

 Work in Progres


  1. On binary forms with minimal height. 

  2. Counting algebraic curves with bounded moduli height.
  3. Coefficients of some self-inversive polynomials (with T. Shaska).

Articles

  1. On Prym varieties for the coverings of some singular plane curves submited (with  T. Yamauchi)
  2. Minimal integral Weierstrass equations for genus 2 curves, Contemporary math, 2016, (to appear).
  3. Some arithmetic statistics of the moduli space of genus two curves Contemporary Math, 2016, (with S. Kruk, R,. Hidalgo, S. Quispe, A. Malmendier, and T. Shaska) (to appear).
  4. Reduction of binary forms, NATO Advanced Study Institute, Macedonia, NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur.,  41, IOS, Amsterdam,  2015, pp.  84-117
  5. Heights on algebraic curves, NATO Advanced Study Institute, Macedonia, NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur.,  41, IOS, Amsterdam,  2015, pp.  137-176 (with T. Shaska) 
  6. The case of superelliptic curvesNATO Advanced Study Institute, Macedonia, NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur.,  41, IOS, Amsterdam,  2015, pp.  1-15,  (with T. Shaska and E. Zhupa) 
  7. Decomposition of some Abelian varieties of dimension 3, L. Beshaj, T. Shaska, Conference on Artificial Intelligence and Symbolic Computation,  LNCS vol. 8884, 193-204.
  8. Equations for superelliptic curves over their minimal field of definition, L. Beshaj, F. Thompson; Albanian J. Math., Vol. 8 (2014), no. 1, 3-8.
  9. On Jacobians of curves with superelliptic components, L. Beshaj, T. Shaska, and C. Shor,  Contemporary Math, vol 229, pg 3-21.
  10. On superelliptic curves of level n and their quotients I. , L. Beshaj, V. Hoxha, T. Shaska, Albanian J. Math. Vol 5, Nr. 3. pg. 115--140.
  11. The singular locus of the space of genus 2 curves with decomposable Jacobians, Albanian J. Math, Vol. 4, Nr. 4, pg, 375-390. 
  12. The arithmetic of genus two curves, (with T. Shaska), NATO Advanced Study Institute, Croatia, 2010. ISO Press, 2010, pg. 59--98.
Posters


Professional Services and Memberships


Conferences and Visiting

Talks
Coming conferences

Other conferences
Visiting Institutions 
  • Princeton University, New Jersey, USA,  Jan- Jun 2015
  • MSRI (Mathematical Sciences Research Institute), Berkeley, CA, USA
  • CRM (Centre de Recerca Matematica), Barcelona, Spain
  • UMCS(Uniwersytet Marri Curie Sklodowskiej), Lublin, Poland.

Grants and Awards

  • Algebraic Geometry- Bootcamp, Salt Lake City, July 2015
  • Institute of Advanced Study, Princeton, May 2015
  • Arizona Winter School, University of Arizona, March 2015
  • AMS Travel Award, March 2015
  • NATO Advanced Study Institute, August 2014
  • Arizona Winter School, University of Arizona, March 2014
  • Dep. of Math. and Stat., Oakland University, March 2014
  • University Research Office, Oakland University, March 2014
  • Association for Women in Mathematics Travel Award, January 2014
  • Dep. of Math. and Stat., Oakland University, April 2013
  • Office of Research, Oakland University, March 2013
  • Clay Mathematical Institute Fellowship, June 2012
  • Dep. of Math. and Stat., Oakland University, June 2012
  • AMS Travel Award, March 2012
  • Office of Research, Oakland University, October 2011
  • AMS Travel Award, October 2011
  • MSRI Travel Award, November 2010






Ċ
Lubjana Beshaj,
Sep 24, 2016, 6:10 PM
Ċ
Lubjana Beshaj,
Jan 21, 2014, 10:31 AM