Dr. Beshaj

Dr. Lubjana Beshaj

Associate Professor

lubjana.beshaj@westpoint.edu

Biography


Dr. Lubjana Beshaj is a Cyber Fellow of Mathematics at the Army Cyber Institute and an Associate Professor in the Department of Mathematical Sciences at West Point. Her research interests include cryptography, elliptic and hyperelliptic curve cryptography, post-quantum cryptography, quantum computing, emerging technologies, and arithmetic of algebraic curves.

Ongoing Research Projects


Post Quantum Cryptogrpahy
Neural Network Cryptogrpahy
Quantum Computing

Publications & Presentations


For a list of Beshaj's publications please look at Google scholar or Arxiv.

Presentations

Jan. 2019, Isogenous components of 2-dimensional reducible Jacobians, AMS Joint Meetings, Baltimore, MD

Nov. 2018, Isogenous elliptic subcovers of genus 2 curves, Santander Cryptography Day, Universidad de Cantabria, Santander, Cantabria, Spain.

Oct. 2018, On Prym varieties for the coverings of some singular plane curves, AMS Special Session on Algebraic Curves, University of Michigan, Ann Arbor, MI

Apr. 2018, Minimal Models for Superellipic Riemann Surfaces with Extra Automorphism, AMS Special Session on Automorphisms of Riemann Surfaces and Related Topics, Portland, Portland State University, OR

Mar. 2018, Isogenous elliptic subcovers of genus 2 curves, AMS Special Session on Algebraic Curves and Their Applications, Ohio State University, OH

Nov. 2017, Isogeny based cryptography in the post-quantum world, Department of Mathematics and Statistics, Oakland University, MI

Sep. 2017, Elliptic and hyperelliptic curve cryptography, Department of Electrical Engineering and Computer Science, The United States Military Academy, West Point, NY

Mar. 2017, From Elliptic to superelliptic curves, Army Cyber Institute, The United States Military Academy, West Point, NY

Jan. 2017, The number of binary forms of bounded moduli height, AMS Special Session on Minimal integral models of algebraic curves, Joint Mathematics Meetings in Atlanta, Georgia.

Nov. 2016, Minimal models for superelliptic curves with extra automorphisms, AMS Special Session on Varieties, Their Fibrations and Automorphisms in Mathematical Physics and Arithmetic Geometry, Raleigh, North Carolina.

May. 2016, Hyperelliptic curve cryptography, General Motors Research and Development, GMC, Detroit, MI

May 2016, Special lecture: Elliptic curve cryptography in automotive industry, Mathematics in Automotive Security, Oakland University, Rochester, Michigan

January 2016, Integral minimal models for binary forms, AMS Special Session on Higher Genus Curves and Fibrations of Higher Genus Curves in Mathematical Physics and Arithmetic Geometry, Seattle, Washington.

Nov. 2015, Superelliptic curves with minimal height, Department of Mathematics Colloquium, Georgia Southern University, Georgia.

March 2015, Reduction of binary forms, AMS Special Session on Arithmetic of Hyperelliptic Curves, East Lansing, Michigan.

March 2015, Binary forms of minimal height, Department of Mathematics Colloquium, University of Akron, Ohio.

August 2014, Decomposition of Jacobians in superelliptic components, NATO ASI, Arithmetic of hyperelliptic curves, Ohrid, Macedonia.

July 2014, Curves with minimal height, Applications of Computer Algebra Conference, Special Session on Arithmetic Geometry, New York.

July 2014, Decomposition of Jacobians in superelliptic components, Applications of Computer Algebra Conference, Special Session on Algorithms and applications in the geometry of algebraic curves and surfaces, New York.

July 2013, On superelliptic curves and their Jacobians, Applications of Computer Algebra, Malaga, Spain.

May 2013, Genus 3 algebraic curves, Michigan Computational Algebraic Geometry, Western Michigan University, Michigan.

October 2011, Theta functions of genus 3 curves, Special Session on Computational and Algorithmic Algebraic Geometry, II, Salt Lake City, Utah.

January 2011, Some remarks on the arithmetic of genus 2 curves, AMS Special Session on Computational Algebraic and Analytic Geometry for Low-Dimensional Varieties, I, New Orleans.