{"id":7,"date":"2018-08-22T17:31:21","date_gmt":"2018-08-22T17:31:21","guid":{"rendered":"http:\/\/sites.msudenver.edu\/aschaef6\/?page_id=7"},"modified":"2023-06-05T17:26:37","modified_gmt":"2023-06-05T17:26:37","slug":"publications","status":"publish","type":"page","link":"https:\/\/sites.msudenver.edu\/aschaef6\/research\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"

***I stopped updating this website in June 2023 – see my new site https:\/\/sites.google.com\/view\/mandisf<\/a> ***<\/p>\n

(Note: Papers published with undergraduate mentees are listed separately toward the bottom.)<\/p>\n

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Under Review<\/strong><\/p>\n

(with N. Hung and C. Vallejo) Principal blocks with six ordinary irreducible characters. Submitted 2023. Preprint:\u00a0 Preprint Here<\/a><\/p>\n

(with L. Ruhstorfer) Navarro’s Galois–McKay conjecture for the prime 2. Submitted 2022. Preprint Here.<\/a><\/p>\n

(with G. Malle, G. Navarro, and P.H. Tiep) Brauer’s Height Zero Conjecture. Submitted 2022.\u00a0Preprint Here.<\/a><\/p>\n

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 <\/p>\n

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Published<\/strong><\/p>\n

(with N. N. Hung) On H\u00e9thelyi–K\u00fclshammer’s conjecture for principal blocks.\u00a0 Algebra & Number Theory, 17:<\/strong>6 (<\/em>2023), https:\/\/doi.org\/10.2140\/ant.2023.17.1127.\u00a0 \u00a0Preprint Here.<\/a><\/p>\n

(with N.N. Hung and C. Vallejo) Height zero characters in principal blocks. Journal of Algebra, <\/em>622<\/strong> (2023), 197–219<\/em>. https:\/\/doi.org\/10.1016\/j.jalgebra.2023.01.021. Preprint Here.\u00a0<\/a><\/p>\n

(with G. Navarro and N. Rizo) Principal blocks for different primes, II.\u00a0 Vietnam J. Math<\/em>. Special issue dedicated to Pham Huu Tiep on the occasion of his 60th birthday (2022). https:\/\/doi.org\/10.1007\/s10013-022-00594-z. Preprint Here<\/a>.<\/p>\n

(with G. Navarro and N. Rizo) Principal blocks for different primes, I. Journal of Algebra. <\/em>610<\/strong> (2022), 632-654.\u00a0Preprint Here<\/a>. Published form here.<\/a> Addendum Here.<\/a><\/p>\n

(with J. Taylor) Galois Automorphisms and Classical Groups.\u00a0 Transformation Groups. \u00a028<\/b>, (2023), 439\u2013486<\/em>.\u00a0 Preprint Here.<\/a>\u00a0 Published form here.<\/a><\/p>\n

(with L. Ruhstorfer) The inductive McKay–Navarro conditions for the prime 2 and some groups of Lie type.\u00a0 \u00a0Proceedings of the American Mathematical Society<\/em>,\u00a0Ser. B<\/em><\/a>\u00a09\u00a0<\/a>(2022),\u00a0<\/a>204\u2013220. Open Access – Available Here.<\/a> Corrections to Section 2 Available on arXiv here<\/a>.<\/p>\n

Galois-equivariant McKay bijections for primes dividing q-1.\u00a0 \u00a0Israel Journal of Mathematics<\/em>. 247,\u00a0<\/b>269\u2013302 (2022).\u00a0 Preprint Here. \u00a0<\/a>Published form here.<\/a><\/p>\n

(with E. Giannelli and J. M. Mart\u00ednez) Character degrees in blocks and defect groups.\u00a0 \u00a0Journal of Algebra. <\/em>Vol. 594 <\/em>(2022), 170-193.\u00a0 \u00a0Preprint\u00a0<\/a>Here.<\/p>\n

(with N. Rizo and C. Vallejo) Principal blocks with 5 irreducible characters.\u00a0 Journal of Algebra. Vol. <\/em>585 (2021), 316-337.\u00a0 Preprint Here<\/a>.<\/p>\n

(with M. Cabanes and B. Sp\u00e4th) On the inductive Alperin-McKay conditions in the maximally split case.\u00a0 Mathematische Zeitschrift.<\/em> Vol. 299 (2021), 2419\u20132441.\u00a0 Preprint Here.<\/a><\/p>\n

(with G. Navarro, N. Rizo, and C. Vallejo) Characters and generation of Sylow 2-subgroups.\u00a0 AMS<\/em> Representation Theory<\/em>. Vol. 25 (2021), 142\u2013165.<\/p>\n

(with N. Hung, E. Giannelli, and C. Vallejo) Characters of \u03c0\u2019-degree and small cyclotomic fields.\u00a0 Annali di Matematica Pura ed Applicata. <\/em>Vol. 200 (2021), 1055\u20131073. \u00a0Preprint Here.<\/a><\/p>\n

(with E. Giannell, N. Rizo, and B. Sambale) Groups with Few p’-Character Degrees in the Principal Block. Proceedings of the American Mathematical Society<\/em>.\u00a0 148:11 (2020), 4579-4614. Preprint Here.<\/a><\/p>\n

(with N. Rizo and C. Vallejo)\u00a0Galois Action on the Principal Block and Cyclic Sylow Subgroups. \u00a0Algebra and Number Theory.<\/em> 14-7 (2020), 1953–1979.\u00a0 \u00a0Preprint Here.<\/a><\/p>\n

(with J. Brough)\u00a0Radical Subgroups and the Inductive Blockwise Alperin Weight\u00a0Conditions for PSp(4, q).\u00a0 Rocky Mountain Journal of Mathematics<\/em>.\u00a050:4 (2020), 1181-1205. \u00a0Preprint Here.<\/a><\/p>\n

(with N. N. Hung, H. Tong-Viet, and C. R. Vinroot) On the Number of Irreducible Real-Valued Characters of a Finite Group.\u00a0 \u00a0Journal of Algebra.<\/em>\u00a0 Vol. 555 (2020), 275-288.\u00a0 Preprint Here<\/a>.<\/p>\n

(with E. Giannelli and N. Rizo)\u00a0Groups with Few p’-Character Degrees.\u00a0 Journal of Pure and Applied Algebra<\/em>.\u00a0 224 (2020) no 8.\u00a0 Preprint here.<\/a><\/p>\n

(with E. Giannelli and C. Vallejo) Characters of\u00a0\u03c0\u2019-Degree. \u00a0Proceedings of the American Mathematical Society.<\/em> 147 (2019) no. 11, 4697-4712.\u00a0 Preprint Here.<\/a><\/p>\n

(with C. R. Vinroot) Fields of Character Values for Finite Special Unitary Groups. Pacific Journal of Mathematics.<\/em>\u00a0 Vol. 300 (2019), No. 2, 473\u2013489.\u00a0 Preprint Here.<\/a><\/p>\n

Action of Galois Automorphisms on Harish-Chandra Series and Navarro’s Self-Normalizing Sylow\u00a0 <\/span>2-Subgroup Conjecture. Trans. Amer. Math. Soc.<\/em>\u00a0372\u00a0 <\/strong>no. 1 (2019), pp. 457-483.\u00a0 Preprint Here.<\/a><\/p>\n

(with J. Taylor) Principal\u00a0 <\/span>2-Blocks and Sylow\u00a0 <\/span>2-Subgroups.\u00a0\u00a0Bull. Lond. Math. Soc.,<\/em>\u00a050<\/b>\u00a0(2018), 733-744.<\/p>\n

(with J. Taylor) On Self-Normalizing Sylow\u00a0 <\/span>2-Subgroups in Type A<\/b> . J. Lie Theory<\/em>\u00a0(2018), 28:1, 139-168.<\/p>\n

(with C.R. Vinroot) Real Classes in Finite Special Unitary Groups. J. Group Theory<\/em>\u00a0(2016), 19:5, 735-762.<\/p>\n

Odd-Degree Characters and Self-Normalizing Sylow Subgroups: A Reduction to\u00a0Simple Groups. Communications in Algebra<\/em> (2016), 44:5, 1882-1904. Preprint Version Here.<\/a><\/p>\n

(with H.N. Nguyen, and M.L Lewis) Finite Groups with an Irreducible Character of Large\u00a0Degree. Manuscripta Mathematica<\/em> (2016), 149:3, 523-546.<\/p>\n

Sp(6,\u00a02^a<\/span>) is `Good’ for the McKay, Alperin Weight, and Related Local-Global Conjectures. J. Algebra<\/em> 401 (2014), 13-47<\/p>\n

Cross-characteristic Representations of Sp(6, 2^a<\/span>) and their Restrictions to Proper\u00a0Subgroups. J. Pure Appl. Algebra<\/em> 217 (2013), no. 8, 1563-1582.<\/p>\n

(with K. Lux and C. R. Vinroot) Strong Reality Properties of Normalizers of Parabolic\u00a0Subgroups in Finite Coxeter Groups. Comm. Algebra.<\/em> 40 (2012), no. 8, 3056-3070.<\/p>\n

(with G. Haynes, L. Mitchel, C. Park, and J. Webster) Orthogonal Vector Coloring. Electronic\u00a0Journal of Combinatorics<\/em> (2010), v 17.<\/p>\n

Ph.D. Thesis<\/strong><\/p>\n

Irreducible representations of finite groups of Lie type: On the irreducible\u00a0restriction problem and some local-global conjectures. PhD dissertation. The University of\u00a0Arizona, Tucson, AZ, USA. (2013). Available here.<\/a>\u00a0 PDF Here.<\/a>.<\/p>\n

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Papers with Undergraduates<\/strong><\/p>\n

\u00a0(students A. Pe\u00f1a and F. Pryor) Galois action and cyclic defect groups for Sp(6,2^a). To Appear in Involve, a Journal of Mathematics<\/em> (2023). Preprint Here.<\/a><\/p>\n

(students K. Albee, M. Barnes, A. Parker, E. Roon) On Irreducible Character Restrictions in Low-Rank\u00a0Classical Groups. Involve, a Journal of Mathematics<\/em> 12-4 (2019), 607–631. DOI 10.2140\/involve.2019.12.607<\/p>\n

(student E. Roon) That Strikes a Chord! An Illustration of Permutation Groups in\u00a0Music Theory.\u00a0 The Rowdy Scholar: A Journal of Undergraduate Research and Creative Works<\/em> (2019), v. 1. \u00a0Available Here<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

***I stopped updating this website in June 2023 – see my new site https:\/\/sites.google.com\/view\/mandisf *** (Note: Papers published with undergraduate mentees are listed separately toward the bottom.) Under Review (with N. Hung and C. Vallejo) Principal blocks with six ordinary irreducible characters. Submitted 2023. Preprint:\u00a0 Preprint Here (with L. Ruhstorfer) Navarro’s Galois–McKay conjecture for the … <\/p>\n

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