Archive 2025 JMM AMS Special Session on Quaternions
Joint Mathematics Meetings AMS Special Session
Current as of Monday, January 13, 2025 03:30:05
Inquiries: [email protected]
2025 Joint Mathematics Meetings (JMM 2025)
- Seattle Convention Center and the Sheraton Grand Seattle, Seattle, WA
- January 8-11, 2025 (Wednesday – Saturday)
- Meeting #1203
Associate Secretary for the AMS Scientific Program:
Brian D. Boe, [email protected]
AMS Special Session on Quaternions
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- Saturday January 11, 2025, 8:00 a.m.-12:00 p.m.
AMS Special Session on Quaternions, I
Presentations on the mathematics, applications, and historical development of quaternions. Algebraists, geometers, physicists, and other scientists actively conduct research involving quaternions. In addition to their interesting mathematical properties, quaternions have many applications: in classical mechanics to describe rotations; in Maxwell’s development of E&M. Applications of quaternions are found in aeronautical engineering, computer graphics, molecular biology, and quantum field theory.
602, Seattle Convention Center Arch at 705 Pike
Organizers:
Chris McCarthy, BMCC, City University of New York [email protected]
Johannes Familton, Borough of Manhattan Community College, CUNY
Terrence Richard Blackman, Medgar Evers College CUNY - To navigate the PDF’s of the slide presentations archived below, put cursor over PDF and then use the navigation arrows that will appear at the bottom of the PDF. See image:
- 8:00 a.m.
The Brauer Dimension of a Field
Shilpi Mandal*, Emory University
(1203-16-41271) - 8:30 a.m.
An application to quaternions, q-Stirling numbers
Amrita Acharyya*, University of Toledo
(1203-16-40629)
Amrita Acharyya Talk_JMM 2025 - 9:00 a.m.
Fibered Module and Module with Continuous Basis
Aleksandr Kleyn*, AMS
(1203-16-40512)
Aleks Kleyn 2025.01.11.English
Click here to download the above PDF by Aleksandr Kleyn. - Click here to watch a video (2024 New Trends Conference Portugal) of Aleksandr Kleyn’s presentation on a related topic: Linear Map and Derivative in Non-commutative Algebra.
- 9:30 a.m.
Noncommutative Mordell–Lang problems
Jason P Bell, University of Waterloo
Dragos Ghioca, University of British Columbia
Yifeng Huang*, University of Southern California
(1203-11-42598)
Yifeng Huang 2025JMM talk_202501_quaternion
Click here to download the above PDF by Yifeng Huang. - 10:00 a.m.
Rational torsion points on abelian surfaces with quaternion multiplication
Jef Laga, University of Cambridge
Ciaran Schembri, Dartmouth College
Ari Shnidman, Hebrew University
John M. Voight*, Dartmouth College
(1203-11-41047) - 10:30 a.m.
Dihedralizing the quaternions, and other fun visual algebra constructions
Matthew Macauley*, Clemson University
(1203-20-42073) - 11:00 a.m.
A quaternion proof of a theorem about transversals in a spherical triangle
Marshall A. Whittlesey*, California State University San Marcos
(1203-51-40689)
- 8:00 a.m.
- Saturday January 11, 2025, 8:00 a.m.-12:00 p.m.
- Saturday January 11, 2025, 1:00 p.m.-6:00 p.m.
AMS Special Session on Quaternions, II
Presentations on the mathematics, applications, and historical development of quaternions. Algebraists, geometers, physicists, and other scientists actively conduct research involving quaternions. In addition to their interesting mathematical properties, quaternions have many applications: in classical mechanics to describe rotations; in Maxwell’s development of E&M. Applications of quaternions are found in aeronautical engineering, computer graphics, molecular biology, and quantum field theory.
602, Seattle Convention Center Arch at 705 Pike
Organizers:
Chris McCarthy, BMCC, City University of New York [email protected]
Johannes Familton, Borough of Manhattan Community College, CUNY
Terrence Richard Blackman, Medgar Evers College CUNY- 1:00 p.m.
Scaled global operators and Fueter variables on non-zero scaled hypercomplex numbers
Daniel Alpay*, Chapman University
(1203-30-40751)
Alpay Daniel JMM2025 jmm2025_b
Click here to download the above PDF by Daniel Alpay. - 2:00 p.m.
Coquaternion as a functional module of biologic systems and geometry of oncogenesis
Garri Davydyan*, Appletree Medical Group
(1203-16-42340) - 2:30 p.m.
Quaternions and Octonions from a Linear Algebra Viewpoint
Roberta L. La Haye*, Mount Royal University
Peter Zizler, Mount Royal University
(1203-15-40683) - 3:00 p.m.
A Brief History of Hypercomplex Numbers
Joel A Shelton*, Tusculum University
(1203-17-36595) - 3:30 p.m.
Quaternions Real-ly aren’t so Complex!
Zane Colter*, University of Utah
Bob Palais, University of Utah
(1203-16-45534) - 4:00 p.m.
QUATERNIONIC CORNER ROTATIONS
Tevian Dray*, Oregon State University
Corinne A. Manogue, Oregon State University (physics)
(1203-17-42486) - 4:30 p.m.
THE ALMOST-EXCEPTIONAL LIE ALGEBRA - Tevian Dray, Oregon State University
Corinne A. Manogue*, Oregon State University (physics)
(1203-17-42494) - 5:00 p.m.
Quantum Bits and Quaternions
David W. Lyons*, Lebanon Valley College
(1203-94-38518)
Lyons David JMM2025 lyons_jmm2025_talk
To download the above PDF by David Lyons click here. - 5:30 p.m.
Exploring the super-golden gates for PU(2) and its applications in quantum information
Lana Azar, UCSB
Eve Bodnia*, UCSB
(1203-81-40634)
Eve Bodnia JMM2025 final_slides_golden_gateJMM2025
Click here to download the above PDF by Eve Bodnia.
- 1:00 p.m.