Yilan Tan-数学科学学院

Name：Yilan Tan

Title:

Research orientations：

Postgraduate/Graduate Enrollment Specialty：

Telephone： +86-18552453668

E-mail: tanyanlan@ujs.edu.cn

Address：

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province, China, 212013.

Education：

Sep 2009 –Sep 2014
Doctor of Philosophy, University of Alberta, Edmonton, AB, Canada, Supervisor: Dr. Nicolas Guay.
Thesis: Finite-dimensional representations of Yangians.
Sep 2007 –Aug 2009
Master of Science, Brock University, St.Catharines, ON, Canada, Supervisor: Dr. Yuanlin Li.
Thesis: On groups with small squaring property.
Sep 2004 –Jul 2007
Master of Science, Xiamen University, Xiamen, China, Supervisor: Dr. Jiwen Zeng.
Thesis: The character tables of some special finite F-groups.
Sep 2000 –Jul 2004
Bachelor of Science, Yantai Normal college, Yantai, China.

Research Interests：

[2] Representations of Yangians and twisted Yangians, Local (global) Weyl modules of Yangians and twisted Yangians, BGG categories of Yangians, Kirillov-Reshetikhin modules of Yangians, Vertex representations of Yangians.
[1] Groups with small squaring property.

Publications：

[10] T. Zhong, Y. Tan, On B6 and B7 groups, Frontiers of Mathematics in China, Vol.15, no. 3, (2020), 613–616.
[9] Y. Tan, T. Zhong, On B(5,19) non-2-groups, Communications in Algebras, Vol.48,no. 2, (2020), 663–667.
[8] Y. Tan, Verma Modules for Twisted Yangians, Communications in Algebras, Vol.48,no. 1, (2020), 210–217.
[7] Y. Tan*, N. Guay, Local Weyl modules and cyclicity of tensor products for Yangians,J. Algebra 432 (2015), 228–251.
[6] Y. Tan, Local Weyl modules and cyclicity of tensor products for the Yangian of type G2, Algebr. Represent. Theory 18 (2015), no. 4, 1061–1070.
[5] H. Wang, Y. Tan*, T. Moss, On B(n, k) 2-groups, Comm. Algebra 43 (2015),no. 11, 4655–4659.
[4] Y. Li, Y. Tan, On B5-groups, Ars Combinatoria, 114 (2014), 3–14.
[3] Y. Li, Y. Tan, On B(4, 13) 2-groups, Communications in Algebras, Vol. 39, no.10, (2011), 3769–3780.
[2] Y. Li, Y. Tan, On B(4, k) groups, Journal of Algebras and its Applications. Vol.9 (2010), no. 1, 27–42.
[1] Y. Tan, X. Wang, Application of Green Theorem in Optimum Catching Question of Fishery Resources(Chinese), Yantai Normal University Transaction (Nature and Sciences Edition). no. 3 (2005), 180–182.

Sumbitted work for publication：

[5] An application of GAP in the teaching of abstract algebra(chinese), with K. Tian and D. Wu.
[4] On B(5, 20) 2-groups, with E. Alhassan and Y. Li.
[3] On B(n, k) groups, with H. Wang and K. Tian.
[2] On B8- and B9- groups, with K. Tian.
[1] Braid group actions and tensor products for Yangians.

Work in Progress：

[3] Verma Modules for twisted Yangians.
[1] On B(5, 20) non-2-groups.

Presentations：

[12] On B(5,19) 2-groups, Invited talk, NUAA, Nanjing, May, 2019.
[11] The representations of Yangians, National Conferences on Lie Algebra, North-East Normal University, Changchun, August, 2017.
[10] The representations of Yangians, Canadian mathematical society summer meet-ing 2016, University of Alberta, Edmonton, June 25, 2016.
[9] Braid group actions and tensor products for Yangians, Lie Theory Seminar,University of California, Riverside, October 6th, 2015.
[8] The local Weyl modules of Yangians, Lie Theory Seminar, University of Califor-nia, Riverside, September 29th, 2015.
[7] Finite-dimensional representations of Yangians, Ph. D Final Defense, Univer-sity of Alberta, August 18th, 2014.
[6] The irreducibility of Verma module over Twisted Yangian and Weyl Mod-ules of Yangians, Candidacy Exam, University of Alberta, November 30th, 2012.
[5] On a combinatorial problem on group theory, Graduate colloquium, University of Alberta, October 12th, 2012.
[4] An introduction to Yangians and their representations, Public presentation,Field Station, Kananaskis, February 23th, 2011.
[3] On Groups with small squaring property, Public presentation, Brock University,Aug 09th, 2009.
[2] On a combinatorial problem on group theory, 30-minute talk at the 17th An-nual Ontario Combinatorics Workshop, University of Waterloo, May 1st–2nd, 2009.
[1] On B5-groups, 25-minute talk at an algebra workshop, Brock University, February 20th, 2009.

Professional work experience：

May 2019 – Now
Associate Professor, School of Mathematics, Jiangsu University, Zhenjiang,now Jiangsu, China.

Aug 2017 – April 2019　　
Assistant Professor, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, China.

July 2015 – Aug 2015　
Sessional instructor, Department of Mathematical and Statistical Science, Univer - sity of Alberta, Edmonton, Alberta, Canada.

Sep 2015 – June 2017 　
Visiting Assistant Professor, Department of Mathematics, University of Califor- nia, Riverside, Riverside, California, United States.

Sep 2009 – Aug 2014 　
Research and Teaching Assistant, Department of Mathematical and Statistical Science, University of Alberta, Edmonton, Alberta, Canada.

Sep 2007 – Apr 2009 　
Research Assistant and teaching Assistant, Department of Mathematics, Brock University, St.Catharines, Ontario, Canada.

Oct 2004 – Nov 2006 　
Teaching Assistant, School of Mathematics, Xiamen University, Xiamen, Fujian, China.

Jan 2005 – July 2007 　
Primary Instructor, Xiamen Sciences College.

Teaching Experiences：

2020 Spring Mathematical Analysis, Jiangsu University, 1 classes, 31 students.
2020 Spring Linear Algebra, Jiangsu University, 1 classes, 38 students.
2019 Fall Mathematical Analysis, Jiangsu University, 1 classes, 31 students.
2019 Fall Abstract Algebra, Jiangsu University, 2 classes, 70 students.
2019 Spring Advanced Mathematics, Jiangsu University, 4 classes, 120 students.
2018 Fall Advanced Mathematics, Jiangsu Univ2ersity, 4 classes, 120 students.
2018 Fall Abstract Algebra, Jiangsu University, 2 classes, 70 students.
2016 Fall Introduction to College Mathematics for the Sciences I, University of Cali-fornia, 2 classes, 254 students.
2016 Spring Linear Algebra II, University of California, 2 classes, 34 students.
2016 Spring Applied Linear Algebras, University of California, 1 classes, 138 students.
2016 Winter Calculus of Several Variables, University of California, 2 classes, 204 students.
2015 Fall First Year Calculus, University of California, 2 classes, 172 students.

Referees：

1 Nicolas Guay, Associate professor at the University of Alberta.
Email: nguay@ualberta.ca
2 Sudarshan Kumar Sehgal, Professor Emeritus at the University of Alberta.
Email: ss5@ualberta.ca
3 Yuanlin Li, Professor at the Brock University, former supervisor.
Email: yli@brocku.ca
4 Yat Sun Poon, Professor at the University of California, Riverside, Department chair.
Email: ypoon@ucr.edu