# Mathematics

### Publications and Preprints:

Publications and Preprints:

**The Gelfand-Graev representation of GSp(4, Fq)**(with Julianne Rainbolt), Comm. Algebra 47 (2019), no. 2, pp. 560-584. DOI: 10.1080/00927872.2018.1485228, (pdf) 2016: (online journal 1) 2019: (online journal 2)**Computations of spaces of paramodular forms of general level**(with Cris Poor and David S. Yuen), J. Korean Math. Soc.**53**(2016), no. 3, pp. 645-689. (pdf) (journal)**Irreducible characters of GSp(4,q) and dimensions of spaces of fixed vectors,**Ramanujan J. 36 (2015), no. 3, pp. 305-354. (pdf) (journal)**Irreducible non-cuspidal characters of GSp(4,Fq),**Ph.D. Thesis, University of Oklahoma, 2011. 145 pp. (pdf)

### Computer Algebra Systems:

Computer Algebra Systems:

**Sage****:**a free open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages: NumPy, SciPy, matplotlib, Sympy, Maxima, GAP, FLINT, R and many more. Access their combined power through a common, Python-based language or directly via interfaces or wrappers.**CoCalc****:**Collaborative Calculation in the Cloud**Magma****:**a large, well-supported software package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics.

### Code:

Code:

**Computing theta blocks**: A Python package and a Jupyter notebook for computing spaces of Jacobi cusp forms using the theory of theta blocks

### Links:

Links:

**LMFDB.org**: an extensive database of mathematical objects arising in Number Theory.**GSp4.org**: a freely accessible database about the existing literature on GSp(4).**SiegelModularForms.org**: Siegel modular forms computations.**Siegel Modular Forms of Degree 2 and 3**: an open access source for information on traces of Hecke operators on Siegel modular forms of degree 2, level 1 and level 2, and of degree 3, level 1.**MathSciNet****Number Theory Conferences New and Old****Number Theory on the arXiv****Representation Theory on the arXiv****Algebraic Geometry on the arXiv****The Mathematics Genealogy Project**

© 2019 Jeff Breeding-Allison