Dr Daniel Kaplan

Dr Daniel Kaplan

School of Mathematics
Postdoctoral Researcher

Contact details

Address
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Dr. Kaplan is a non-commutative algebraist motivated by questions in geometry and topology. His previous work on preprojective algebras includes deformation theory and Diamond Lemma techniques and has applications to quiver varieties, symplectic geometry, and non-commutative resolutions. He is currently a postdoctoral researcher in the Geometry and Mathematical Physics Group at the University of Birmingham, working with Dr. Tyler Kelly on questions arising in mirror symmetry.

Beyond his role in the research community, Dr. Kaplan is passionate about spreading mathematical tools and thinking “to cultivate virtues that help people flourish”. He previously volunteered with the Toronto Math Circle, Drayton Primary Math Club, London Maths Outreach, Imperial’s STEM Potential Programme, and the Huckleberry Youth Program, among others.

Please visit Dr Daniel Kaplan's personal website for more information.

Qualifications

Postdoctoral Researcher in the Geometry and Mathematical Physics group

  • PhD in Mathematics, Imperial College, 2019
  • MA in Mathematics, University of Texas at Austin, 2015
  • BA in Mathematics, Northwestern University, 2013

Biography

Dr. Daniel Kaplan received his Bachelor of Arts at Northwestern University in 2013, where he won awards for his contribution to student life. He continued engaging with his community during his PhD at the University of Texas at Austin; Dr. Kaplan was a teaching assistant three semesters, organized three seminars, and directed undergraduate reading courses.

Daniel completed his PhD at Imperial College London following his supervisor, Travis Schedler. He received Imperial’s Outstanding Student Achievement Award for his expanded outreach efforts: working with Drayton Park Primary School, London Maths Outreach, STEM Potential, and GCSE Prep. His research began to flourish as he participated in a themed semester in Geometric Representation Theory at the Hausdorff Institute in Bonn and visited the Max Planck Institute for Mathematics.

Following his PhD, Dr. Kaplan was a postdoctoral fellow at the Fields Institute for a themed semester in Homological Mirror Symmetry in 2019. During the semester, he organized a Mirror Symmetry learning seminar, co-organized a conference on Lagrangian Floer Theory, and volunteered through Toronto’s Math Circle.

Dr. Kaplan is now bringing his energy and enthusiasm for mathematics to the University of Birmingham, where he joined the Geometry and Mathematical Physics group in 2020.

Research

  • Mirror Symmetry
  • Calabi-Yau categories and algebras
  • Deformation Theory
  • Preprojective Algebras
  • Koszul Duality

Other activities

Volunteer Work

  • Volunteer at Maths Circle Toronto, December 2019
  • Volunteer at Drayton Park Primary School's Math Club, 2018-2019
  • Volunteer at The Great Exhibition Road Festival, 2019
  • Volunteer at Imperial Late: Xmaths, 2018
  • Teacher at London Maths Outreach, 2019
  • Volunteer with STEM Potential, 2018  
  • Maths Promoter at Career Fairs, 2018 
  • Mentor at 2016 STEM Summer Camp for Teenage Girls in Abuja, August 2016
  • Tutor for youths in low-income families at GCSE Success, 2015

Publications

Culture and collections

Schools, institutes and departments

Services and facilities