CONTACT INFORMATION

Name: Nghia T.A. Tran (married, one child)

(Trần Thái An Nghĩa in Vietnamese, T.T.A. Nghia in publications)

Assistant Professor, Department of Mathematics and Statistics,

Oakland University, Rochester, MI 48309, USA

Office: 347 SEB - Office phone: 248-370-4030

Email: nttran at oakland.edu


EDUCATION

- Ph.D. in Applied Mathematics, Department of Mathematics, Wayne State University, USA, August 2013. 

- M.S. in Mathematical Statistics, Department of Mathematics, Wayne State University, USA, August 2011.  

- B.S. in Mathematics (honors), Department of Mathematics and Computer Science, Hochiminh City University of Pedagogy, Vietnam, August 2006.


RESEARCH INTEREST

       Optimization, Mathematical Programming, Variational Analysis,  Optimal Control


PUBLICATIONS 

Preprints  
  1. (with J. Y. Bello Cruz) On the convergence of the proximal forward-backward splitting method with linesearches, submitted (2015), preprint)
  2. (with B. S. Mordukhovich) Local strong maximal monotonicity and full stability for parametric variational systems, submitted (2014), preprint
  3. (with H. Bauschke, J. Y. Bello Cruz, H. M. Phan, X. Wang) Optimal rates of convergence of matrices with applications, submitted (2014), preprint

Appeared

  1. (with N.H. Chieu, G.M. Lee, and B. Mordukhovich) Coderivative characterizations of maximal monotonicity for set-valued mappings, J. Convex Anal., to appear (2015), preprint
  2. (with B. Mordukhovich and R. T. Rockafellar) Full  stability in finite-dimensional optimization, Math. Oper. Res., 40, 226-252 (2015)
  3. (with B. MordukhovichSecond-order characterizations of tilt stability with applications to nonlinear programming, Math. Program. A, 149, 83-104 (2015) (pdf)
  4. (with B. S. Mordukhovich) Nonsmooth cone-constrained optimization with applications to semi-infinite programming, Math Oper. Res., 39, 301-324 (2014)
  5. (with D. Drusvyatskiy and B. Mordukhovich) Second-order growth, tilt stability, and metric regularity of the subdifferential, J. Convex Anal.21, 1165-1192 (2014)
  6. (with B. Mordukhovich) Full Lipschitzian and Holderian stability in optimization with applications to mathematical programming and optimal control, SIAM J. Optim.24, 1344-1381 (2014) (pdf)
  7. (with H. Bauschke, J. Y. Bello Cruz, H. M. Phan, X. Wang) The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angleJ. Approx. Theory185, 63-79 (2014) (pdf)
  8. A note on implicit multifunction theorems, Optim. Letters8, 329-341 (2014) (pdf)
  9. (with B. S. Mordukhovich) Subdifferentials of supremum Lipschitzian functions and their applications to semi-infinite and infinite programs, SIAM J. Optim.23, 406-431 (2013)
  10. (with B. S. Mordukhovich) Constraint qualifications and optimality conditions in nonconvex semi-infinite and infinite programs, Math. Program. B, 139, 271-300 (2013) (pdf)
  11. (with B. S. Mordukhovich) Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite dimensional spaces, Nonlinear Anal.86, 159-180 (2013) (pdf)
  12. A nondegenerate fuzzy optimality condition for constrained optimization problems, Nonlinear Anal.75,  6379-6390 (2012) (pdf)
  13. (with B. S. Mordukhovich) DC optimization approach to regularity of convex multifunctions with applications to infinite systems, J. Optim. Theory Appl.155, 762-784 (2012) (pdf)
  14. (with N. Dinh and B. S. Mordukhovich) Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs, Math. Program. B123, 101-138 (2010) (pdf)
  15. (with N. Dinh and G. Vallet) A closedness condition and its applications to DC programs with convex constraints,    Optimization59, 541-560 (2010)
  16. (with N. Dinh and B. S. Mordukhovich) Qualification and optimality conditions for DC programs with infinite constraints,  Acta Math. Vietnam34,  125-155 (2009) (pdf)
  17. (with N. Dinh and G. Vallet) Farkas-type results and duality for DC programs with convex constraints, J. Convex Anal.15, 235-262 (2008) (pdf)

 

REFEREE SERVICE


SIAM Journal on  Optimization, Mathematical Programming, Mathematics of Operations Research, Set-Valued and Variational Analysis, Journal of Computational and Applied Mathematics, Journal of Optimization Theory and Applications, Journal of Global Optimization, ... 


REVIEWER


AMS Mathematical Reviews


TEACHING AT OAKLAND UNIVERSITY
  • Fall 2015: Calculus I, Multivariables Calculus
  • Winter 2015: Introduction to Operations Research - ISE 330/MOR 330/MOR331 
  • Fall 2014: Introduction to Differential Equations with Matrix Algebra - APM 255.     
                       Linear and Integer Optimization - MOR 454/554.
CONFERENCE
  • 22nd International Symposium on Optimization, Pittsburgh, PA, USA, July 2015.Talk: Full stability of parametric variational systems. (Co-chair: Variational Analysis in Stability of Variational Systems) 
  • SIAM Conference on Optimization, San Diego, CA, USA, May 2014. Invited talk: Coderivative characterizations of maximal monotonicity with applications to variational systems. 
  • Joint Mathematics Meeting, Baltimore, MA, USA, January 2014. Talk: Coderivative characterizations of local monotonicity with applications to variational systems. 
  • Centre for Optimization, Convex Analysis & Nonsmooth Analysis, University of British Columbia, Kelowna, BC, Canada, November 2013. Invited talk: Metric regularity of the subdifferential. 
  • West Coast Optimization Meeting, University of Victoria, Victoria, BC, Canada, October 2013. Invited talk: Holderian and Lipschitzian stability of variational systems. 
  • Modeling and Optimization: Theory and Applications, Lehigh University, Bethlehem, PA, USA, August 2013. Talk: Full stability in nonlinear optimization with applications to semidefinite programming.
  • 14th Midwest Optimization Meeting, Western Michigan University, Kalamazoo, MI, USA, October 2012. Talk: Second-order variational analysis and characterizations of tilt-stable optimal solutions in finite and infinite dimensional spaces.
  • 13th Midwest Optimization Meeting & Workshop on Large Scale Optimization and Applications, Field Institute, Toronto, Canada, October 2011. Talk: Subdifferentials of  supremum Lipschitzian functions and its applications to nonsmooth semi-infinite and infinite programs.
  • Joint Mathematics Meeting, New Orleans, PA, USA, January 2011. Invited Talk: Optimality conditions in semi-infinite and infinite programming.
  • 12th Midwest Optimization Meeting, Wayne State University, Detroit, MI, USA, October  2010. Invited talk: DC Approach to regularity modulus of  convex multifunction and its applications to infinite systems.
  • CIMPA-UNESCO-VIETNAM School on Variational Inequalities and Related Problems, Institute of Mathematics, Hanoi, Vietnam, June 2010. Talk:  Constraint qualifications and optimality conditions in nonlinear  infinite and semi-infinite programs.
  • 11th Midwest Optimization Meeting, Western Michigan University, Kalamazoo, MI, USA, October 2009. Talk: Regularity modulus of  linear semi-infinite and infinite systems.
  • 20th International Symposium of Mathematical Programming, Chicago, IL, USA, August 2009. Invited talk: Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs.
  • International School and Workshop on Variational Analysis, Santiago, Chile, November 2008. Poster: Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs.
       
"Work hard to find something that fascinates you" Richard P. Feynman