Education

PhD in Mathematics

University of Arizona

BS in Mathematics

University of Arizona

Personal Website

https://sites.msudenver.edu/aschaef6

Published Works

• Ruhstorfer, L., Schaeffer Fry, A. M. (2022). The inductive McKay-Navarro conditions for the prime 2 and some groups of Lie type. Proceedings of the American Mathematical Society, Series B, 9, 204–220.
• Navarro, G., Rizo, N., Schaeffer Fry, A. M. Principal blocks and different primes, I. (in press). Journal of Algebra.
• Navarro, G., Rizo, N., Schaeffer Fry, A. M. Principal blocks and different primes, II. [Manuscript submitted for publication]. Vietnam Journal of Mathematics - Special Issue in Honor of P.H. Tiep.
• Giannelli, E., Martínez, M. J., Schaeffer Fry, A. M. (2021). Character Degrees in Blocks and Defect Groups. Journal of Algebra, https://doi.org/10.1016/j.jalgebra.2021.11.035.
• Schaeffer Fry, A. M. (2021). Galois-equivariant McKay bijections for primes dividing q-1. Israel Journal of Mathematics https://doi.org/10.1007/s11856-021-2266-2.
• Navarro, G., Rizo, N., Schaeffer Fry, A. M., Vallejo, C. (2021). Characters and generation of Sylow 2-subgroups. Representation Theory: an Electronic Journal of the AMS, 25, 142-165. https://doi.org/10.1090/ert/555.
• Rizo, N., Schaeffer Fry, A. M., Vallejo, C. (2021). Principal blocks with 5 irreducible characters. Journal of Algebra, 585, 316-337. https://doi.org/10.1016/j.jalgebra.2021.06.009.
• Schaeffer Fry, A. M., Taylor, J. Galois Automorphisms and Classical Groups. (in press). Transformation Groups.
• Hung, N. N., Schaeffer Fry, A. M., Vallejo, C. Height zero characters in principal blocks. [Manuscript submitted for publication].
• Cabanes, M., Schaeffer Fry, A. M., Späth, B. (2021). On the inductive Alperin-McKay conditions in the maximally split case. Mathematische Zeitschrift, 299, 2419–2441. https://doi.org/10.1007/s00209-021-02764-0.
• Hung, N. H., Schaeffer Fry, A. M. On Héthelyi–Külshammer’s conjecture for principal blocks. [Manuscript submitted for publication].
• Rizo, N., Schaeffer Fry, A. M., Vallejo, C. (2020). Galois Action on the Principal Block and Cyclic Sylow Subgroups. Algebra and Number Theory, 14(7), 1953–1979. https://doi.org/10.2140/ant.2020.14.1953.
• Giannelli, E., Rizo, N., Schaeffer Fry, A. M. (2020). Groups with Few p’-Character Degrees. Journal of Pure and Applied Algebra, 224(8). https://doi.org/10.1016/j.jpaa.2020.106338.
• Giannelli, E., Rizo, N., Sambale, B., Schaeffer Fry, A. M. (2020). Groups with Few p’-Character Degrees in the Principal Block. Proceedings of the American Mathematical Society, 148, 4597-4614. https://doi.org/10.1090/proc/15143.
• Brough, J., Schaeffer Fry, A. M. (2020). Radical Subgroups and the Inductive Blockwise Alperin Weight Conditions for PSp(4, q). Rocky Mountain Journal of Mathematics, 50(4), 1181-1205. https://doi.org/10.1216/rmj.2020.50.1181.
• Hung, N. N., Schaeffer Fry, A. M., Tong-Viet, H., Vinroot, R. C. (2020). On the Number of Irreducible Real-Valued Characters of a Finite Group. Journal of Algebra, 555, 275-288. https://doi.org/10.1016/j.jalgebra.2020.03.008.
• Giannelli, E., Hung, N., Schaeffer Fry, A. M., Vallejo, C. (2020). Characters of π’-degree and small cyclotomic fields. Annali di Matematica Pura ed Applicata, 200, 1055–1073. https://doi.org/10.1007/s10231-020-01025-x.
• Giannelli, E., Schaeffer Fry, A. M., Vallejo, C. (2019). Characters of Pi'-Degree. Proceedings of the American Mathematical Society, 147(11), 4697-4712. https://doi.org/10.1090/proc/14633.
• Schaeffer Fry, A. M., Vinroot, C. (2019). Fields of Character Values for Finite Special Unitary Groups. Pacific Journal of Mathematics, 300(2), 473–489. https://doi.org/10.2140/pjm.2019.300.473.
• Roon, E., Albee, K., Parker, A., Barnes, M., Schaeffer Fry, A. M. (2019). Irreducible Character Restrictions in Low-Rank Classical Groups. Involve: A Journal of Mathematics, https://doi.org/DOI: 10.2140/involve.2019.12.607.
• Schaeffer Fry, A. M. (2019). Galois Automorphisms on Harish-Chandra Series and Navarro's Self-Normalizing Sylow 2-Subgroup Conjecture. Transactions of the American Mathematical Society, 372(1), 457-483. https://doi.org/10.1090/tran/7590.
• Roon, E., Schaeffer Fry, A. M. (2019). That Strikes a Chord! An Illustration of Permutation Groups in Music Theory. The Rowdy Scholar: A Journal of Undergraduate Research and Creative Works, 1. https://www.msudenver.edu/rowdy-scholar/past-issues/issue-1/.
• Schaeffer Fry, A. M., Taylor, J. (2018). Principal 2-Blocks and Sylow 2-Subgroups. Bulletin of the London Mathematical Society, 50, 733-744. https://arxiv.org/abs/1710.08094.
• Schaeffer Fry, A. M., Taylor, J. (2018). On Self-Normalising Sylow 2-Subgroups in Type A. Journal of Lie Theory, 28(1), 139-168. http://www.heldermann.de/JLT/JLT28/JLT281/jlt28008.htm.
• Schaeffer Fry, A. M. (2016). Odd-Degree Characters and Self-Normalizing Sylow 2-Subgroups: A Reduction to Simple Groups. Communications in Algebra, 44(5), 1882-1904. https://doi.org/10.1080/00927872.2015.1027399.
• Schaeffer Fry, A. M., Vinroot, R. C. (2016). Real Classes of Finite Special Unitary Groups. Journal of Group Theory https://doi.org/10.1515/jgth-2016-0009.
• Hung, N., Lewis, M., Schaeffer Fry, A. M. (2015). Finite Groups with an Irreducible Character of Large Degree. Manuscripta Mathematica https://doi.org/10.1007/s00229-015-0793-z.
• Schaeffer Fry, A. M. (2014). Sp(6, 2^a) is `Good' for the McKay, Alperin Weight, and Related Local-Global Conjectures. Journal of Algebra, 401, 13-47. https://doi.org/doi:10.1016/j.jalgebra.2013.12.007.
• Schaeffer Fry, A. M. (2013). Cross-characteristic Representations of Sp(6,2^a) and their Restrictions to Maximal Subgroups. Journal of Pure and Applied Algebra, 217(8), 1563-1582. https://doi.org/doi:10.1016/j.jpaa.2012.11.011.
• Schaeffer Fry, A. M. (2013). Irreducible Representations of Finite Groups of Lie Type: On the Irreducible Restriction Problem and Some Local-Global Conjectures. University of Arizona Library. http://arizona.openrepository.com/arizona/bitstream/10150/293407/1/azu_etd_12602_sip1_m.pdf.
• Lux, K., Schaeffer Fry, A. M., Vinroot, R. C. (2012). Strong Reality Properties of Normalizers of Parabolic Subgroups in Finite Coxeter Groups. Communications in Algebra, 40(8), 3056-3070. https://doi.org/DOI:10.1080/00927872.2011.563372.
• Haynes, G., Mitchell, L., Park, C., Schaeffer Fry, A. M., Webster, J. (2010). Orthogonal Vector Coloring. Electronic Journal of Combinatorics, 17, 18 pages. http://www.combinatorics.org/ojs/index.php/eljc/article/view/v17i1r55.