Office: Weber 207
Phone: (970) 491-1865
Website: http://www.math.colostate.edu/~betten/
Curriculum Vitae: http://www.math.colostate.edu/~betten/cv.pdf
Google Scholar: https://scholar.google.com/citations?user=1y8t9R0AAAAJ&hl=en&oi=ao
About
Combinatorics, coding theory, design theory, algorithms, mathematical software, parallel computing
Publications
- The Number of Cubic Surfaces with 27 Lines Over a Finite Field50th anniversary of the Southeastern international conference on combinatorics, graph theory and computing Journal of Algebraic Combinatorics, 2021.
- Cubic Surfaces and Associated ArcsProceedings of ISSAC 2021 Proceedings of ISSAC 2021.
- Cubic Surfaces and Associated Arcs ISSAC 2021.
- Classifying Simplicial Dissections of Convex Polyhedra with SymmetryMathematical software--ICMS 2020 Lecture Notes in Comput. Sci., Springer, 2020.
- Cubic Surfaces over Finite Fields of Characteristic Two. Designs, Codes, Cryptography.
- Cubic Surfaces with 13 Eckardt Points. Advances in Geometry.
- New Uniform Subregular Parallelisms of PG(3,4) Invariant Under an Automorphism of Order 2 Cybernetics and Information Technologies, Bulgarian Academy Of Science, 6, 2020.
- The Orbiter Ecosystem for Combinatorial DataProceedings of ISSAC 2020 Proceedings of ISSAC 2020, 2020.
- Large Arcs in Small Planes Congressus Numerantium, 2019.
- Parallelisms in PG(3,4) invariant under a group of order 4Algebraic Informatics 8th International Conference, CAI 2019 Niš, Serbia, June 30 – July 4, 2019 Proceedings Springer LNCS, 2019.
- A rainbow-clique search algorithm for BLT-setsICMS 2018-Proceedings of the International Congress on Mathematical Software Springer, 2018.
- An introduction to cubic surfaces NSF We are mathematics competition.
- Classifying cubic surfaces over finite fields using orbiterICSM 2018 - Proceedings of the International Congress on Mathematical Software Springer, 2018.
- How fast can we compute orbits of groups?ICMS 2018 - International Conference on Mathematical Software Springer, 2018.
- Parallelisms of PG(3,4) invariant under a Baer involutionSixteenth International Workshop on Algebraic and Combinatorial Coding Theory ACCT XVI acct2018.skoltech.ru, 2018.
- Poset Classification and Optimal Linear Codes Mathematics in Computer Science.
- The Number of Cubic Surfaces with 27 Lines Over a Finite Field SIAM Journal on Applied Algebra and Geometry.
- Cubic Surfaces Over Small Finite Fields Designs, Codes, Cryptography.
- Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen European Journal of Mathematics, 2017.
- Clebsch Apple App Store, 2017.
- Fining, Finite Incidence Geometry package for GAP GAP council.
- On dual hyperovals of rank 4 over F2 Journal of Geometry, 2017.
- Spreads of PG(3,8) and PG(3,9) containing a regulus Congressus Numerantium, 2016.
- The packings of PG(3,3) Designs, Codes, Cryptography, 3, 2016.