2024 Joint Mathematics Meetings (JMM 2024)

• Moscone North/South, Moscone Center, San Francisco, CA
• January 3-6, 2024 (Wednesday – Saturday)
• Meeting #1192

Associate Secretary for the AMS Scientific Program:

Michelle Ann Manes, American Institute of Mathematics mmanes@secretariat.ams.org

AMS Special Session on Quaternions

• Thursday January 4, 2024, 1:00 p.m.-5:00 p.m.
  AMS Special Session on Quaternions, I
  In this session we will have presentations on the history, mathematics, and applications of quaternions. Quaternions were discovered by William Hamilton in 1843. There are only two finite-dimensional division rings containing the real numbers: complex numbers and quaternions. Algebraists, geometers, and mathematical physicists actively conduct quaternion research. Quaternion applications include representations of rotations, computer animations, molecular biology, and quantum field theory.
  Room 072, The Moscone Center
  Organizers:
  Chris McCarthy, BMCC, City University of New York mccarthyBMCC@yahoo.com
  Johannes Familton, Borough of Manhattan Community College, CUNY
  Terrence Richard Blackman, Medgar Evers Community College, CUNY
  • 1:00 p.m.
    Where are the Trinions: the search for $3$-dimensional $R$-algebras
    Joel A Shelton*, Tusculum University
    (1192-16-27654)

• • 1:30 p.m.
    Protein structure: An approach through dual quaternions
    Joel Ireta, Universidad Autonoma Metropolitana
    David Orbe*, Universidad Autonoma Metropolitana
    (1192-92-29163)
  • 2:00 p.m.
    Polarized class sets of quaternion orders
    John M. Voight*, Dartmouth
    (1192-11-28464)
  • 2:30 p.m.
    Is Unreasonable Slightness a General Phenomenon?
    Arseniy Sheydvasser*, Bates College
    (1192-11-28001)
  • 3:00 p.m.
    Linear Map of Module over Non-commutative Algebra
    Aleksandr Kleyn*, AMS
    (1192-16-28824)
  • 3:30 p.m.
    Canonical quaternion algebras
    Rebekah Palmer*, Unaffiliated
    (1192-14-33025)
  • 4:00 p.m.
    Galois cohomology to analyze crossed modules, quaternion division algebra
    Amrita Acharyya*, University of Toledo
    (1192-16-28610)
  • 4:30 p.m.
    Scaled hypercomplex rings, from quaternions to split-quaternions
    Daniel Alpay*, Chapman University
    Ilwoo Cho, Saint Ambrose University
    (1192-20-30094)

 

• Friday January 5, 2024, 1:00 p.m.-5:00 p.m.
  AMS Special Session on Quaternions, II
  In this session we will have presentations on the history, mathematics, and applications of quaternions. Quaternions were discovered by William Hamilton in 1843. There are only two finite-dimensional division rings containing the real numbers: complex numbers and quaternions. Algebraists, geometers, and mathematical physicists actively conduct quaternion research. Quaternion applications include representations of rotations, computer animations, molecular biology, and quantum field theory.
  Room 072, The Moscone Center
  Organizers:
  Chris McCarthy, BMCC, City University of New York mccarthyBMCC@yahoo.com
  Johannes Familton, Borough of Manhattan Community College, CUNY
  Terrence Richard Blackman, Medgar Evers Community College, CUNY
  • 1:00 p.m.
    A Division Algebra Description of the Magic Square, including $E_8$
• Tevian Dray*, Oregon State University
  Corinne A. Manogue, Oregon State University (physics)
  Robert A. Wilson, Queen Mary University of London
  (1192-17-28996)
• 1:30 p.m.
  $E_8$ and the Standard Mode
  Tevian Dray, Oregon State University
  Corinne A. Manogue*, Oregon State University (physics)
  Robert A. Wilson, Queen Mary University of London
  (1192-17-29000)
• 2:00 p.m.
  Fast Navigation With Icosahedral Golden Gates
  Terrence Richard Blackman*, Medgar Evers Community College, CUNY
  Zachary Stier, UC Berkeley
  (1192-11-29728)
• 2:30 p.m.
  CANCELLED A quaternion proof of a theorem about transversals in a spherical triangle
  Marshall A. Whittlesey*, California State University San Marcos
  (1192-51-28296)
• 3:00 p.m.
  Rotation Matrices and Quaternions Revisited
  Bob Palais*, University of Utah
  (1192-22-33348)
• 3:30 p.m.
  Image analysis workflows rooted in quaternion algebra
  Dirk Jäger, Department of Medical Oncology, National Center for Tumor Diseases (NCT), University Hospital Heidelberg (UKHD), Im Neuenheimer Feld 460, 69120, Heidelberg, Germany
  Bénédicte Lenoir, Center for Quantitative Analysis of Molecular and Cellular Biosystems (Bioquant), Heidelberg University, Im Neuenheimer Feld 267, 69120, Heidelberg, Germany
  Ferdinand Popp, Applied Tumor Immunity Clinical Cooperation Unit, National Center for Tumor Diseases (NCT), German Cancer Research Center (DKFZ), Im Neuenheimer Feld 460, 69120, Heidelberg, Germany
  Nektarios A. Valous*, Center for Quantitative Analysis of Molecular and Cellular Biosystems (Bioquant), Heidelberg University, Im Neuenheimer Feld 267, 69120, Heidelberg, Germany
  Inka Zörnig, Applied Tumor Immunity Clinical Cooperation Unit, National Center for Tumor Diseases (NCT), German Cancer Research Center (DKFZ), Im Neuenheimer Feld 460, 69120, Heidelberg, Germany
  (1192-68-27710)
• 4:00 p.m.
  Coquaternion kinematics in homeostasis mechanisms of biologic systems
  Garri Davydyan*, Appletree Medical Group
  (1192-16-29748)