Question

A space named for this mathematician is the simplest nontrivial fiber bundle of an interval over S1 (“S-one”); a quotient space description of that space is as a torus over the group action of the symmetric group on two letters. This mathematician names transformations of the complex (10[1])plane (10[2])with the form (10[1])“az-plus-b (10[1])over (10[1])cz-plus-d,” (10[2])as well as (10[1])a function equal to zero for any number with a squared (-5[1])prime (10[1])factor. (10[1])Attaching the edges of an Euler characteristic-zero (10[1])surface named for this mathematician (-5[1])to itself forms the real (10[1])projective (10[1])plane, (10[2])while joining two (10[1])copies (10[1])of that non-orientable (10[1])surface (10[1])along their boundaries (10[3])creates a (10[1])Klein bottle. (10[1])For 10 points, (10[2])twisting (10[1])a piece of paper (10[2])and gluing (10[3])its (10[1])ends (10[1])together (10[1])creates what (10[1])German mathematician’s one-sided “strip”? (10[1])■END■ (10[1])

ANSWER: August Ferdinand Möbius [accept Möbius strip or Möbius band or Möbius loop or Möbius function or Möbius group or Möbius transformation]
<Other Science>
= Average correct buzz position

Summary

Buzzes

PlayerTeamOpponentBuzz PositionValue
Alex AkridgeIndiana AUChicago A4510
Geoffrey WuColumbia AHaverford A4610
Kevin YeSFUAlberta4610
Max BrodskyUIUC AUIUC B4910
Calvin Bostleman (UG)Ohio State A (UG)Ohio State B (DII)5010
Matthew Wang (UG)UBC AUBC B5110
Alvin GuoUChicago CUIUC D5210
Leo LawUF AFlorida State University A5210
Yahwanth Bajji (DII)Michigan APitt A5510
Matthew WestPurdue ANorthwestern A66-5
Rohan DalalGeorgia Tech BAuburn A6710
Ruchir Kodihalli (UG)CWRU B (UG)Pitt B (UG)6810
Teigue KellyPenn State APrinceton A7510
Devito Stevanus (UG)McGill EWUSTL A80-5
Sophie Higgs (DII)UW AUW B8510
Jacob Goodson (DII)Ohio State C (DII)Michigan C (UG)8610
Sam Macchi (D2)Vassar ATexas B8710
Shiva TegullaUCF AUF D8710
Trenton BurgesIndiana BSIUE A9010
William HoustonUChicago BWashU D9110
Maximilian NieburJohns Hopkins BRutgers C9410
Aswath Karai (DII)Michigan State AMichigan B9510
Jack CaseyUIUC CMiami9810
Brynn JonesOregon StateMississippi State9810
Eshan Pant (D2)NYU AMissouri9810
Collin Leck (D2)Central OklahomaNYU B10010
Vishal KanigicherlaPenn ABard A10210
Olin BoseColumbia BLehigh A10510
Jeevan IyaduraiUF CUCF B10510
Jacob Tow (UG)Colorado CollegeTexas D10610
Alex WongRutgers ARowan A11010
Aidan BernardoFlorida Tech AUF F11010
Nadita Shankar (DII)CWRU D (DII)Michigan State C (UG)11210
Francis Hanf (UG)Kenyon A (UG)Kenyon B (DII)11210
Aryan PathakUF EFlorida Tech B11210
Ishaan SinghPurdue BUChicago D11310
Thomas Doyle (UG)Vassar BTexas C11410
Rohan KrishnamoorthiWashU CNotre Dame11510
Athena Shadden (UG)Texas AIowa11710
Jacob PuthipirojNorthwestern APurdue A12110
Collin NadarajahWUSTL AMcGill E12210