Curriculum vitae
adranows@ias.edu | www.math.ias.edu/~adranows
Research
Representation theory, algebraic geometry, combinatorial representation theory.
Education
University of Toronto, St George Ph.D. Candidate, Mathematics, July 2020
Thesis: Comparing two pefect bases
Advisor: Joel Kamnitzer
University of Toronto, St George M.Sc. in Mathematics, June 2014
Thesis: Maslov Cycles as Wavefront Sets
Advisor: Eckhard Meinrenken
Refereed publications
Baumann, P. and Kamnitzer, J. and Knutson, A., The Mirkovic–Vilonen basis and Duistermaat–Heckman measures with an appendix by Dranowski, A., Kamnitzer, J. and Morton-Ferguson, C., Acta (2020) arXiv:1905.08460
Dranowski, A., Generalized orbital varieties for Mirkovic–Vybornov slices as affinizations of Mirkovic–Vilonen cycles, Transformation Groups (2019) arXiv:1905:18174
Burchard, A., Chambers, G. R. and Dranowski, A., Ergodic properties of folding maps on spheres, Discrete and Continuous Dynamical Systems-Series A (2015) arXiv:1509.02454
Invited talks
TBA, AMS Special Section x 3. (May 2021)
TBA, UNC. (February 2021)
Fusion in the BD Grassmannian via a Mirkovic-Vybornov isomorphism, UMass Representation Theory Seminar. (February 2021)
From tensor product quiver varieties to reverse plane partitions, Columbia Informal Math Physics Seminar. (December 2020)
Reverse plane partitions and preprojective algebra modules, IAS Workshop on Recent Developments in Geometric Representation Theory. (November 2020)
Reverse plane partitions and Lusztig’s dual semicanonical basis, Lacim. (November 2020)
The glass bead game, UConn Algebra Seminar. (November 2020)
A tale of two bases An ode to D data, IAS Postdoc Talks. (September 2020)
Generalized Orbital Varieties and MV cycles, Lie theory and integrable systems in symplectic and Poisson geometry. (June 2020)
Measuring bases, Algebraic Geometry, UC Davis. (February 2020) 
Duistermaat-Heckman measuers of a biperfect basis, RTMP, UC Berkeley. (February 2020)
Generalized orbital varieties and MV modules, Geometry and Representation Theory Seminar, Queens University. (November 2019)
Generalized orbital varieties for Mirković–Vybornov slices, EPFL. (July 2019) 
MV cycles from generalized orbital varieties, Symplectic Geometry Seminar. (April 2019)
Affinizations of MV cycles, Geometric Representation Theory Seminar. (April 2019)
A Hitchhiker’s guide to the affine Grassmannian, Graduate Student Seminar, University of Toronto.
(September 2018)
Lusztig Datum of an Open MV Cycle, Southeastern Lie Theory Workshop X, University of Georgia. (June
2018) 
On Random Foldings, 8th Annual Ottawa
Mathematics Conference, University of Ottawa. (June 2015)
Posters
Equations of MV cycles in type A, Young Topologists Meeting, EPFL. (July 2019) 
Flag Functions of Modules over Preprojective Algebras and Equivariant Multiplicities of MV Cycles,
Interactions between Representation Theory and Algebraic Geometry, University of Chicago. (August 2017)
Teaching experience
Selected Teaching Assistantships and *Teaching Appointments are listed below. Other teaching experience includes Girls in STEM, Fields Math Circles, U of T Math Academy, U of T Math Mentorship, Science Rendezvous, and private tutoring.
| Summer 2020 | *Linear Algebra I (MAT223), *PUMP I (Precalc), EGMO Camp |
| Fall 2019 | *Linear Algebra I (MAT223) |
| Summer 2019 | *Multivariable Calculus (MAT237) |
| Spring 2019 | Math Aid Center, Linear Algebra II (MAT224) |
| Fall 2018 | Algebra I (MAT1100), Graph Theory and Algorithms for its Applications (MATC32) |
| Summer 2018 | Math Aid Center |
| 2017–2018 | Groups, Rings and Fields (MAT347), Trinity College Math Aid Center |
| Summer 2017 | *Groups and Symmetries (MAT301) |
| 2016–2017 | Groups, Rings and Fields (MAT347), Trinity College Math Aid Center |
| Fall 2016 | Introduction to Ordinary Differential Equations (MAT244) |
| Summer 2016 | Polynomial Equations and Fields (MAT401) |
| 2015–2016 | Multivariable Calculus (MAT237), New College Math Aid Center |
| Fall 2015 | Concepts in Abstract Mathematics (MAT246), Introduction to Topology (MAT327) |
| Summer 2015 | Multivariable Calculus (MAT237) |
Honours & awards
| 2020 | Martin Shubik Graduate Award in Mathematics |
| 2018-20 | Doctoral Completion Award |
| 2018 | Daniel B. DeLury Teaching Assistant Award |
| 2017 | Faculty of Arts and Sciences Math Fellowship |
| 2016 | Coxeter Graduate Scholarship |
| 2015 | Women in Math Scholarship, Blyth Fellowship |
| 2013 | !NSERC Undergraduate Student Research Award |
| 2012 | #NSERC Undergraduate Student Research Award |
| 2011 | Jane McAdams Perron Scholarship |
!Supervised by Eckhard Meinrenken. #Supervised by Luis Seco.
Leadership & service
Served two terms as president of the Mathematics Graduate Student Association, and one term as vice-president and Graduate Student Union Representative. Served on the Departmental Library Committee, as Department Council Representative, and on Department Awards Committee.
Organization of conferences and workshops
AMS Special Session on Geometric Representation Theory and Equivariant Elliptic Cohomology at JMM 2020
Professional development
Skills
Sage, GAP, Macaulay2, Singular, LaTeX, Pandoc, Git, Zoom, Perusall,...