ד"ר קריסטל הויט

ד"ר קריסטל הויט

Dr. Crystal Hoyt

ד"ר קריסטל הויט
Department
Mathematics
Research Interests

• Algebraic and combinatorial representation theory

• Lie algebras and Lie superalgebras

 

 

Courses
Algebra 1 מח (extended), Algebra 2 מח (extended)
Current Position
Senior Lecturer
Contact Information
Email
crystal@braude.ac.il
Office
EM206
Education
Ph.D.
2007 Mathematics, University of California, Berkeley, USA
B.Sc.
2001 Summa Cum Laude in Mathematics, Texas A&M University, USA
Research Areas
Algebraic and combinatorial representation theory
Lie algebras and Lie superalgebras
Academic Appointments
2017 – present    Senior Lecturer, ORT Braude College, Karmiel, Israel
2010 – present    Academic Consultant, Weizmann Institute, Rehovot, Israel
2016 – 2017       Adjunct Lecturer, ORT Braude College, Karmiel, Israel
2014 – 2017       Adjunct Lecturer, Technion, Haifa, Israel
2011 – 2017       Adjunct Lecturer, Weizmann Institute, Rehovot, Israel
2011 – 2014       Aly Kaufman Postdoctoral Fellow, Technion, Haifa, Israel
2010 – 2011       Postdoctoral Researcher, Bar-Ilan University, Ramat Gan, Israel
2009                   JSPS Postdoctoral Fellow, Nara, Japan
2007 – 2010       Postdoctoral Fellow, Weizmann Institute, Rehovot, Israel
 
 
Teaching Experience
ORT Braude College of Engineering:

Undergraduate Courses:

Algebra
Algebra 1מח
Algebra 2מח

University of California, Berkeley:

Undergraduate Courses:

Analytic Geometry and Calculus

Weizmann Institute:

Graduate Courses:

Introduction to Lie algebras
Commutative algebra (reading course)

Technion:

Graduate Courses:

Lie algebras

Bar-Ilan University:

Graduate Courses:

Introduction to affine Lie algebras (mini-course)

Academic and Professional Awards and Grants

2001    Honorable mention for the Alice T. Schafer Prize (USA national AWM award)

2002    Honorable mention for NSF Graduate Research Fellowship

2004    Mentored Research Award, UC Berkeley

2009    JSPS Postdoctoral Fellowship

Professional Activities
ORT Braude College:

2018    Poster at the 2018 ORT Braude Research Conference
2017    Teacher training course (42 hours attended)
2017    Poster at the 2017 ORT Braude Research Conference

Professional activities:

2019    Organizer for the annual IMU meeting
2018    Organizer for the Joint Conference on "Lie groups, Lie algebras and applications" at ORT Braude College and the University of Haifa
2018    Submitted ISF grant proposal

 

Academic visits:

2018    Jacobs University Bremen, Germany, February
2017    University of California, Berkeley, California, September
2017    University of California, Berkeley, California, May
2017    Jacobs University Bremen, Germany, February
2016    University of California, Berkeley, California, August
2014    University of Michigan, Ann Arbor, January
2013    University of Michigan, Ann Arbor, July
2011    Research Institute for Mathematical Sciences, Kyoto, Japan, June-July
2008    Nara Women's University, Japan, November

Conference talks:

2018   Lie Superalgebra Day, Ben-Gurion University 
2018   Minerva Workshop on Lie Algebras and Related Topics, Weizmann Institute of Science, Israel
2017   11th International Conference on Clifford Algebras and Their Applications in Mathematical Physics,
           Minisymposium: Lie superalgebras, Ghent University, Belgium
2017   Algebraic Modes of Representations and Nilpotent Orbits, Celebrating Anthony Joseph's 75 birthday, Israel
2017    Infinite Lie theory, University of California, Berkeley, USA
2014   Twelfth Night Workshop in Representation Theory, Weizmann Institute of Science, Israel
2013    Workshop on Orbits, Primitive Ideals and Quantum Groups, Weizmann Institute of Science, Israel
2012    Lie superalgebras, Roma, Istituto Nazionale di Alta Matematica, Italy
2011    RIMS Symposium on Problems in Representation Theory and Harmonic Analysis, Research Institute for Mathematical Sciences, Japan
2010    Workshop on Problems and Progress of Lie Algebraic Theory, Weizmann Institute of Science, Israel
2009    Symposium on Representation Theory, Okinawa, Japan
2006    Workshop on Representation Theory of Lie Algebraic Systems, Weizmann Institute of Science, Israel
2006    AMS Western Section Meeting, San Francisco State University, USA
2005    Lie Theory Workshop, MSRI, Berkeley, CA, USA

 

Colloquium and seminar talks:
2018   Jacobs University Bremen
2017   Weizmann Institute; Afeka College; Jacobs University Bremen (Germany)
2016   Technion; University of Haifa; Weizmann Institute; ORT Braude College
2013   University of Haifa; Weizmann Institute; Technion
2012   University of Haifa (colloquium); Weizmann Institute
2011   Technion; University of Haifa; Weizmann Institute
2010   Ben-Gurion University; Weizmann Institute; Technion; Bar-Ilan University; University of California, Berkeley (USA)
2009    Okayama University (Japan)
2008   Nara Women's University (Japan)
2006   Weizmann Institute of Science
Editing:

A. Joseph, Consequences of the Littelmann path theory for the structure of the Kashiwara B(∞) Crystal, Highlights in Lie Algebraic Methods, Progress in Mathematics, Vol. 295, Birkhauser, 2011, 25-64.

Refereeing for scientific journals:
Journal of algebra,
Linear and multilinear algebra,
Communications in mathematical physics,
Journal of mathematical physics
Journal of the London Mathematical Society
Publications
Refereed Papers
  1. C. Hoyt, V. Serganova, Classification of finite-growth general Kac- Moody superalgebras, Communications in Algebra, 35 no. 3 (2007), 851-874.
  2. C. Hoyt, S. Reif, Simplicity of vacuum modules over affine Lie superalgebras, Journal of Algebra, 321 no. 10 (2009), 2861-2874.
  3. C. Hoyt, Regular Kac-Moody superalgebras and integrable highest weight modules, Journal of Algebra, 324 no. 12 (2010), 3308-3354.
  4. C. Hoyt, Good gradings of basic Lie superalgebras, Israel Journal of Mathematics, 192 no. 1(2012), 251-280.
  5. M. Chmutov, C. Hoyt, S. Reif, Kac-Wakimoto character formula for the general linear Lie superalgebra, Algebra & Number Theory, Vol. 9 no. 6 (2015), 1419-1452.
  6.  M. Chmutov, C. Hoyt, S. Reif, A Weyl-type character formula for PDC modules of gl (m|n), Journal of Lie Theory, Vol. 27 no. 4 (2017), 1069–1088.
  7. C. Hoyt, S. Reif, Grothendieck rings for Lie superalgebras and the Duflo-Serganova functorarXiv:1612.05815, to appear in Algebra & Number Theory.
  8. C. Hoyt, I. Penkov, V. Serganova, Integrable sl()-modules and Category O for gl(m|n), arXiv:1712.00664, to appear in the Journal of the London Mathematical Society.
           

Book Chapters
  1. C. Hoyt, Weight modules of D(2,1,a), Advances in Lie superalgebras, Springer INdAM Ser. no. 7 (2014), 91–100.

Conference Proceedings and Abstracts
  1. C. Hoyt, Classification of finite-growth contragredient Lie superalgebras, Proceedings of the Symposium on Representation Theory, ISBN 4-9902328-5-2, Japan (2009).

  2. C. Hoyt, On good Z-gradings of basic Lie superalgebras, Proceedings of the RIMS Symposium on Problems in Representation Theory and Harmonic Analysis, ISSN 1880-2818, Japan (2011).

Other Publications

Ph.D. Dissertation:

Kac-Moody superalgebras of finite growth, University of California, Berkeley, ProQuest Publishing, May 2007.