"Choosing to apply to CCS mathematics was one of the best decisions I have ever made. This program was a serious selling point for my choice in attending UCSB. Never in my life have I been so academically challenged or engaged. As a result of this, I'm working harder than I have in my life but I couldn't possibly enjoy it more. All the professors in this program are brilliant, and they truly care that their students LEARN the material and understand the concepts as opposed to regurgitate definitions. I'm very pleased with my choice, and am looking forward to the years to come ." Alex Sheftel and Ian Bloom CCS Mathematics Student

Scientific papers by students

Here you can find a selection of papers published by some of our students recently. We only add the name of the CCS student who wrote the paper although these papers may have more coauthors.

1. "A min-max theorem for complex symmetric matrices. Linear Algebra Appl. 412 ( 2006). By Jeffrey Danciger.

2. "Compatible triangulations and point partitions by series-triangular graphs". Comput. Geom. 34(2006). By Jeffrey Danciger.

3. "A Hilbert space approach to bounded analytic interpolation", Complex Anal. Oper. Theory 1(2007), no. 4. By Jeffrey Danciger and Simon Rubinstein-Salzedo.

4. "Variational principles for symmetric bilinear forms", Math. Nachr. 281(2008). By Jeffrey Danciger.

5. "Maximum exponent of boolean circulant matrices with constant number of nonzero entries in its generating vector". Electronic Journal of Combinatorics 16(2009), no. 1, Research Paper 66. By Nicholas Sherer.

6. "Influence of target concentration and background binding on in Vitro selection of affinity reagents," PLOS ONE, 7(2012), By Joe Rudzinsky.

7. "Summing symbols in mutual recurrences." Computing and Combinatorics, B. Fu and D.-Z. Du, Eds., vol. 6842 of Lecture Notes in Computer Science. Springer Berlin / Heidelberg, 2011, pp. 531-542. By Berkeley Churchill.

8. "An efficient Algorithm for Deriving Summation Identities from Mutual Recurrences". Discrete Mathematics, Algorithms, and Applications, 04(02) 2012. By Berkeley Churchill.

9. "The solution of the equation AX+X^*B=0". Linear Algebra Appl. 438 (2013), 2817-2860.  By Nathan Guillery.

10. "Structured strong linearizations from Fiedler pencils with repetition I". Linear Algebra and its appl. 460 (2014), 51-80. By Kyle Curlett.

11. "Systematic Stochastic Reduction of Inertial Fluid-Structure Interactions subject to Thermal Fluctuations". SIAM J. Appl. Math., 75(4) (2015), 1884-1914. By Gil Tabak.

12. "A first-passage kinetic Monte Carlo method for reaction-drift-diffusion processes". J. Comput. Phys. 259 (2014), 536-567. By Justin Shrake.

13. "Preferred Mitotic Orientation in Pattern Formation by Vascular Mesenchymal Cells”, American Journal of Physiology, Heart, and Circulatory Physiology 303 (2012), H1411-H1417. By Eric Demer.

14. ''A parametric model for determining consensus priority vectors from
fuzzy comparison matrices'', By Kevin Lui.  Fuzzy Sets and Systems, vol. 246 (2014), 49-61.

15. "The Semigroup Problem for Central Semidirect Products of R^n with R^m", By Kevin Lui. Topological Proceedings, 45 (2015)  9-29.

16. "Large vector spaces of block-symmetric strong linearizations for matrix polynomials", by Mark Rychnovsky. Linear Algebra and its Applications, 477(2015), 165-210.

17. "On the sign characteristic of Hermitian linearizations in DL(P)", by Sarafina Ford. Linear Algebra and its Applications, 519 (2017), 73-101. 

18. "Randomness Extractors - An exposition".  Rose Hulman undergraduate journal, 17 (20016). by Wei Dai.

19. "Every binary code can be realized by convex sets", by Megan Franke. Advances in Applied Mathematics, 99 (2018), pp. 83-93.

20. "Explicit Block-Structures for Block-Symmetric Fiedler-like pencils", by Xander Song.   Electronic Journal of Linear Algebra, 34 (2018), article 36.

21. "Kernel Treelets", by Hedi Xia.  Adv. Data Sci. Adapt. Anal. 11(2019), no. 3-4, 16pp. 

22. "Linearizations for interpolatory bases-a comparison: New families of linearizations", by Daria Mileeva, Electronic Journal of Linear Algebra, 6(2020), 799-833.

23. Linear maps preserving the Lorentz spectrum of 3x3 matrices, by B. Faktor and Runze Li. Involve 17 (2024), n0.1, 121-152.