Faculty Profile for Dr. Lucas J Rusnak

profile photo for Dr. Lucas J Rusnak
Dr. Lucas J Rusnak
Assistant Professor — Mathematics
MCS 573
phone: (512) 245-3935

Biography Section

Biography and Education

Lucas Rusnak received his Ph.D from Binghamton University in 2010. His research is in oriented hypergraphs and combinatorial matrix theory. He is particularly interested in generalizations of the structural and matroidal properties of signed and gain graphs, as well as the roles frustration and balance play in oriented hypergraphs.

Selected Scholarly/Creative Work

  • Rusnak, L. J., Shroff, P. R., Couvillion, E. B., & Schmidt, M. (2019). Oriented Hypergraphic Matrix-tree Type Theorems and Bidirected Minors via Boolean Order Ideals. Journal of Algebraic Combinatorics, 49(4), 461–473.
  • Rusnak, L. J., Couvillion, E. B., Chen, G., Liu, V., & Wang, K. (2018). A Characterization of Oriented Hypergraphic Laplacian and Adjacency Matrix Coefficients. Linear Algebra and Its Applications.
  • Rusnak, L. J. (2013). Oriented Hypergraphs: Introduction and Balance. Electronic Journal of Combinatorics, 20(3).
  • Rusnak, L. J., Chen, V., Rao, A., & Yang, A. (2015). A characterization of oriented hypergraphic balance via signed weak-walks. Linear Algebra and Its Applications, 485, 442–453.
  • Reff, N., & Rusnak, L. J. (2012). An oriented hypergraphic approach to algebraic graph theory. Linear Algebra and Its Applications, 437(9), 2262–2270.

Selected Awards

  • Award / Honor Recipient: Presidential Distinction Award for Excellence in Teaching 2019. 2019
  • Award / Honor Recipient: Presidential Distinction Award for Excellence in Teaching 2018, Texas State University. 2018
  • Award / Honor Recipient: 2021 Health Scholar Showcase Award, TXST Translational Health Center. December 2021
  • Award / Honor Nominee: President Award for Excellence in Teaching 2019. 2019
  • Award / Honor Recipient: Recognition for Supervision of Honors Thesis, Texas State University Honors College. 2019

Selected Grants

  • Rusnak, Lucas J. REP: Oriented hypergraphs, REP, Texas State University, $7583. (Submitted: October 25, 2017, Funded: May 31, 2019). Grant.
  • Rusnak, Lucas J. Library Research Grant, Texas State University, Texas State University, $858.97. (Submitted: 2016). Grant.

Selected Service Activities

Editor
Special Matrices
2021-Present
Editorial Review Board Member
Proceedings of the International Web Conference on SIGNED GRAPHS & ALLIED AREAS
December 2020-Present
Co-sponsor
BIG IDEAS: Data Science Solutions Center
2019-Present
Reviewer / Referee
Combinatorica
February 2019-Present
Reviewer / Referee
Discrete Mathematics
November 2018-Present