Bio
I am a Postdoctoral Assistant Professor at the Math Department, at the University of Michigan, Ann Arbor (UMICH). I am currently holding a double appointment also as a Postdoctoral Researcher at the Biomedical and Clinical Informatics Lab, Department of Computational Medicine and Bioinformatics at UMICH.
I received my Ph.D.from the University of Illinois at Urbana-Champaign (UIUC) in May 2017 working under the supervision of Prof. Bruce Reznick.
My research is largely focused on high-order tensor analysis. More specifically, I am working on formulating a novel, mathematically sound theoretical framework to perform analysis of data structured as n-dimensional tensors while preserving the integrity of their structure — i.e. without slicing. My research interests also include real algebraic geometry, field theory and polynomials, semidefinite optimization, combinatorics and graph theory. I am also interested in techniques for symmetric tensor decomposition – also known as the Waring problem for forms, sum of squares optimization, Schubert calculus and graph matching.
Please feel free to get in touch with me at tokcan@umich.edu. You can also find additional ways to contact me in the Contact section.
Neriman Tokcan
Postdoctoral Assistant Professor Department of Mathematics
also with Dept. of Computational Medicine and Bioinformatics University of Michigan, Ann Arbor
Selected Publications
Expected 2018
Tensor amplification and decomposition and their applications in biomedicine
N. Tokcan, H. Derksen , in preparation
A novel tensor similarity score for the classification of cardiac index
N. Tokcan, H. Derksen, G. Jonathan, L. Hernandez, K. Najarian, in preparation
Expected 2018
Low rank approximation of symmetric tensors over different fields
N. Tokcan, B. Reznick, in preparation
January 2017
Binary forms with three different relative ranks
B. Reznick and N. Tokcan, accepted for publication in Proceedings of the American Mathematical Society
March 2017
On the Waring rank of binary forms
N. Tokcan, acctepted for publication in Linear Algebra and Its Applications
Newton Polytopes in Algebraic Combinatorics
C. Monical, N. Tokcan and A. Yong, available on arXiv
June 2017
WCET Derivation under Single Core Equivalence with Explicit Memory Budget Assignment
R. Mancuso, R. Pellizzoni, N. Tokcan and M. Caccamo, in In Proceedings of the 29th Euromicro Conference on Real-Time Systems (ECRTS 2017), Dubrovnik, Croatia. To Appear
Affiliations
Faculty 2017 – Present
Postdoctoral Assistant Professor in Mathematics, and Computational Medicine and Bioinformatics
University of Michigan, Ann Arbor
Ph.D. 2012 – 2017
Ph.D. in Mathematics
University of Illinois at Urbana-Champaign Department of Mathematics
M.S. 2011 – 2012
Master of Science in Mathematics
University of Illinois at Urbana-Champaign Department of Mathematics
B.S. 2005 – 2009
Bachelor of Science in Mathematics
Cukurova University, Turkey
Press Coverage
Neriman Tockan Awarded Michigan Precision Health 2018 Scholars Award
Featured Article
Neriman Tokcan Receives Michigan Precision Health Scholar Award
LSA Record Article
Honors, Awards and Certificates
2018 - Michigan Precision Health Scholars Award - 2 years, $80,000, UMICH

2017 - Irving Reiner Memorial Award in Algebra, UIUC

Spring 2017 – Campus Research Board Award, UIUC
Fall 2016 – AMS Graduate Student Travel Grant to the Joint Mathematics Meetings
Fall 2016 – Nominated for Departmental TA Instructional Award, UIUC
2016 – Graduate Teaching Certificate, Center for Innovation in Teaching and Learning, UIUC
Fall 2015 – Finalist for Departmental TA Instructional Award, UIUC
From 2014 - List of Teachers Ranked as Excellent by Students, UIUC

2011 - Council of Higher Education of Turkey Scholarship
It is a prestigious scholarship given by the Faculty Development of Higher Institution Program of Ankara Gazi University in Turkey. The acceptance is conditional on accepting a faculty position at the issuing institution.
2009 - Pres. - Republic of Turkey Ministry of National Education (MEB) Scholarship

2009 - TUBITAK Scholarship
