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Ha Tran

Country of origin: Vietnam Currently in: Canada, Calgary General field of specialization: Mathematical sciences
Academic Background

Degrees

2015 Doctorate Mathematical sciences
Research and Profession

Current Research Activities

Mathematical sciences

I am currently a postdoc researcher in Number theory. My research topic is on ideal lattices which are considered an attractive and significant subject in Number theory and other fields. It combines Algebraic number theory and Algorithmic number theory together with its applications in Coding theory and Cryptography.

Research Keywords: 
Ideal lattice
number field
recdution algorithm

Publications resulting from Research: 


Computation of integral bases, with Jens Dietrich Bauch, in preparation.

Reduced ideals from the reduction algorithm.
https://arxiv.org/abs/1711.07573

The size function for cyclic cubic fields, with Peng Tian, will appear in Int. J. Number Theory
https://arxiv.org/abs/1609.02858

The size function of quadratic extensions of complex quadratic fields, Journal de théorie des nombres de Bordeaux, 29 no. 1 (2017), p. 243-259.
http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2017__29_1_243_0
https://arxiv.org/abs/1504.01045

Computing dimensions of spaces of Arakelov divisors of number fields, Int. J. Number Theory, March 2017, Vol. 13, No. 02: pp. 487-512
DOI: http://dx.doi.org/10.1142/S1793042117500270
http://arxiv.org/abs/1506.04540

Well-Rounded Lattices for Coset Coding in MIMO Wiretap Channels, with Oliver W. Gnilke, Amaro Barreal, Alex Karrila, David A. Karpuk and Camilla Hollanti, 26th International Telecommunication Networks and Applications Conference, ITNAC 2016., p. 289-294.
http://ieeexplore.ieee.org/document/7606856/?reload=true
https://arxiv.org/abs/1609.07666

Well-Rounded Lattices for Reliability and Security in Rayleigh Fading SISO Channels, with O. W. Gnilke, A. Karrila and C. Hollanti, Information Theory Workshop (ITW), 2016 IEEE, 359-363
http://ieeexplore.ieee.org/document/7606856/?reload=true
https://arxiv.org/pdf/1605.00419v1.pdf

On reduced Arakelov divisors of real quadratic fields, Acta Arith. 3483 (2016), 297-315.
https://www.impan.pl/shop/onepagecheckout/
http://arxiv.org/abs/1412.5043

A generalization of reduced Arakelov divisors of a number field, Journal of Number Theory 167 (2016) 104 - 117.
http://www.sciencedirect.com/science/article/pii/S0022314X16300531



Current profession

Current professional activities type: 
Research
Teaching

Workshop and Conference Attended

From 2006-2017 Please see the attached file

Affiliations

University of Calgary

Presentation given

Please see the attached file
Event:
Prizes, Grants and Awards

TWAS Awards

Jan 2015
Award
PIMS Post-Doctoral Fellowship Award for the 2015- 2016 year at the University of Calgary, Canada.

Other Awards

Sep 2012
Fellowship
Phd fellowship at the University of Tor Vergata