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math.CO2026
Strong Embeddings of Regular Graphs with Prescribed Automorphism Groups
Reymond Akpanya, Tom Goertzen, Meike Weiß
A classical theorem of Frucht states that every finite group occurs as the automorphism group of a finite graph. We prove an embedded analogue for regular graphs of arbitrary degre…
math.RT2026
Kazhdan-Lusztig Basis and Optimization
Tom Goertzen, Geordie Williamson
We describe a conjectural approach to obtaining canonical bases of the Hecke algebra at via continuous quadratic optimization. We focus on Specht modules and proper con…