Since 2022

Vice-Rector for Research / Program Coordinator 'International Management of Resources and Environment' / Professor of Mathematics

2013-2022

Professor of Mathematics  

German-Mongolian Institute for Resources and Technology

2006 – 2013    

Assistant Professor, head of department, dean of the faculty, Professor at National University of Mongolia 

2002 – 2006   

Scientific Assistant at Chemnitz University of Technology

2004 – 2006   

Scientific Assistant in Mathematical Institute at NUM

1998 – 2000   

Assistant Lecturer at NUM

• Study on Algorithmic Development for Quasi-variational Inequalities related to Dynamic Systems, Mongolian Foundation for Science and Technology, 2018 – 2020
• Process Optimization of Copper Leaching in Achit Ikht Plant, Strategic Development Fund of GMIT and Achit Ikht LLC, 2018 – 2019
• Algorithmic developments for generalized Nash equilibrium problems with applications, Asian Development Bank, Higher Education Reform Project, 2015 – 2017
• Estimating Financial Risk Measures and Applications, The Asia Research center in Mongolia and the Korea Foundation for Advanced Studies, Korea, 2009 – 2010
• On Some Algorithms related to Conjugate Duality Theory, The Asia Research center in Mongolia and the Korea Foundation for Advanced Studies, Korea, 2008 – 2009 ​

• Altangerel, L. (2023). Applications of Fenchel Duality for Vector Optimization Problems. Mongolian Mathematical Journal, (24), 24-29.
• Gankhuu, B., Kleinow, J., Lkhamsuren, A., & Horsch, A. (2022). Dividends and compound Poisson processes: a new stochastic stock price model. International Journal of Theoretical and Applied Finance, 25(03), 2250014.
• Battulga, G., Altangerel, L., & Battur, G. (2021). Loan interest rate Nash models with solvency constraints in the banking sector. Optimization Methods and Software, 36(5), 891-908.
• Otgochuluu, C., Altangerel, L., Battur, G., Khashchuluun, C., & Dorjsundui, G. (2021). A game theory application in the copper market. Resources Policy, 70, 101931.
• L Altangerel, G Battur, 2020: Bulletin of Irkutsk State University. Series Mathematics 32, 3-16
• Lkhamsuren, Altangerel, & G., BATTUR, 2020: An Exact Penalty Approach and Conjugate Duality for Generalized Nash Equilibrium Problems with Coupling and Shared Constraints. The Bulletin of Irkutsk State University, Series Mathematics 32:3-16. doi: 10.26516/1997-7670.2020.32.3

• F.Thiessen, T.Maurer, L.Altangerel, 2019: Rural Exodus and Standard of Living, in: “Chemnitz Economic Papers 028”, Department of Economics, Chemnitz University of Technology.
• G.Battulga, L.Altangerel,  G.Battur, 2018: An Extension of the One Period Model in Non-life Insurance Markets, No. 12,  p.1339-1350.
• F.Thiessen, T.Maurer, L.Altangerel, 2018: Landflucht und Lebenstandard Hebung des Lebenstandards und  der Produktivitaet mongolischer nomadisch lebender Haushalte, in: “Chemnitz Economic Papers 024”, Department of Economics, Chemnitz University of Technology.
• L.Altangerel, 2018: Gap Functions for Quasi-variational Inequalities via Duality, in: Journal of Inequalities and Applications, 2018:3, , https://doi.org/10.1186/s13660-017-1603-9
• L. Altangerel, G. Wanka, O. Wilfer, 2013: An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities, in: A. Chinchuluun, P.M. Pardalos, R. Enkhbat, et al., editors, 2013: , Optimization, Simulation, and Control, Springer Optimization and Its Applications 76, p. 17 – 34 
• L. Altangerel, G. Battur, 2012: Perturbation Approach to Generalized Nash Equilibrium Problems with shared Constraints, in: Optimization Letters 6, No. 7, p. 1379 – 1391
• L. Altangerel, G. Wanka, O. Wilfer,  2011: An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 18
• L. Altangerel, G. Wanka, 2010: Gap Functions for Vector Equilibrium Problems via Conjugate Duality, in: A. Chinchuluun, P.M. Pardalos, R. Enkhbat, editors, 2010: Optimization and Optimal Control, Springer Optimization and Its Applications 39, p. 185 – 197
• L. Altangerel, G.Battur, 2009: An Application of Splitting Methods to Convex Partially Separable Optimization Problems, in: Mongolian Mathematical Journal 13, p. 2 – 15
• L. Altangerel, R. I. Bot, G. Wanka, 2007: Conjugate Duality in Vector Optimization and some Applications to the Vector Variational Inequality, in: Journal of Mathematical Analysis and Applications 329 (2), p. 1010 – 1035
• L. Altangerel, R. I. Bot, G. Wanka, 2007: On the Construction of Gap Functions for Variational Inequalities via Conjugate Duality, in: Asia-Pacific Journal of Operational Research 24, No. 3, p. 353 – 371
• L. Altangerel, R. I. Bot, G. Wanka, 2007: Variational Principles for Vector Equilibrium Problems related to Conjugate Duality, in: Journal of Nonlinear and Convex Analysis 8, No. 2, p. 179 – 196
• L. Altangerel, G. Wanka, 2007: Gap Functions for Vector Equilibrium Problems via Conjugate Duality, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 26
• L. Altangerel, 2007: Scalarized Gap Functions for Vector Variational Inequalities via Conjugate Duality, in: Mongolian Mathematical Journal 11, p. 46 – 54 
• L. Altangerel, R. I. Bot, G. Wanka, 2006: Conjugate Duality in Vector Optimization and some Applications to the Vector Variational Inequality, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 4
• L. Altangerel, R. I. Bot, G. Wanka, 2006: Variational Principles for Vector Equilibrium Problems related to Conjugate Duality, in:  Faculty of Mathematics, Chemnitz University of Technology, Preprint 3
• L. Altangerel, R. I. Bot, G. Wanka, 2006: On Gap Functions for Equilibrium Problems via Fenchel Duality, in: Pacific Journal of Optimization 2 (3), p. 667 – 678
• L. Altangerel, Ch. Altannar, R. Enkhbat, 2005: A note on the Connection of Variational Unequalities with Convex and Concave Programming, in: Mongolian Mathematical Journal 9, p. 2 – 8
• L. Altangerel, 2005: Some Equivalent Problems arising in Conjugate Duality for Convex Optimization, in: Mongolian Mathematical Journal 9, p. 36 – 47
• L. Altangerel, R. I. Bot, G. Wanka, 2005: On the Construction of Gap Functions for Variational Inequalities via Conjugate Duality, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 1
• L. Altangerel, R. I. Bot, G. Wanka, 2005: On Gap Functions for Equilibrium Problems via Fenchel Duality, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 8
• L. Altangerel, R. I. Bot, G. Wanka, 2003: Duality for Convex Partially Separable Optimization Problems, in: Mongolian Mathematical Journal 7, 1-18
• L. Altangerel, T. Zhanlav, 1999: Asymptotics of Solution of Sturm-Liouville Problems, in: Scientific Journal of National University of Mongolia, Vol.3 (154), p. 32 – 46

• L. Altangerel, 2011: Estimation Methods in Financial Risk
• L. Altangerel, R. Enkhbat, 2010: Mathematical Modeling for Economics and Optimal Control, Vol. 78, Mongolian Academy of Sciences, 2010L. Altangerel, R.I. Bot, G. Wanka, 2003: Duality for Convex Partially Separable Optimization Problems, in: Mongolian Mathematical Journal 7, p. 1 – 18 
• Translated books 
• R.D. Precht: Liebe: ein unordentliches Gefuehl, translated with ”MIND” club from German into Mongolian, 2018
• R.D. Precht: Wer bin ich - und wenn ja, wie viele?, translated with ”MIND” club from German into Mongolian, 2013
• B. Luderer: Starthilfe Finanzmathematik, translated with B. Bolormaa from German into Mongolian, 2009
• B. Luderer, V. Nollau, K. Vetters, 2005: Mathematical Formulas for Economists, translated with R. Enkhbat from English into Mongolian, 2008

• L.Altangerel: Variational inequalities and some applications of Nash equilibrium problems, in: The 6th International Conference on Optimization, Simulation and Control, Ulaanbaatar, June 21-23, 2019
• L.Altangerel: Gap functions for quasi-variational inequalities via duality, in:  The Vienna Workshop of Computational Optimization, Vienna, Austria, December 17-19, 2018
• L.Altangerel: Algorithms for quasi-variational inequalities related to dynamic systems, in: Annual Conference on Applied Mathematics, NUM, November 19, 2018
• L.Altangerel: Gap functions for quasi-variational inequalities via duality, in: Research Seminar for Methods of Nonconvex Optimization, Institute for System Dynamics and Control Theory, Irkutsk, Russia, Russia, December 6, 2017
• L.Altangerel: Invited talk: Variational Inequalities and Nash Equilibrium Models, Annual Conference on Applied Mathematics, NUM, November 25, 2017
• L. Altangerel: An extension of the one period model in non-life insurance markets, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, January 18, 2017
• L. Altangerel: Gap function approach for generalized Nash equilibrium problems, in: ICOTA-10, Ulaanbaatar, July 23-26, 2016
• L. Altangerel: Gap function approach for generalized Nash equilibrium problems via duality in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, January 27, 2016
• L. Altangerel: Invited talk: Weak sharp minima in optimization problems and variational inequalities, in: the 3rd Russian-Mongolian conference for young scientists on mathematical modelling, computing technologies and control, June 23-30, 2015, Irkutsk (Russia)-Khankh (Mongolia)
• L. Altangerel: Invited talk: Gap functions for variational inequalities based on conjugate duality, in: the 3rd Russian-Mongolian conference for young scientists on mathematical modelling, computing technologies and control, June 23-30, 2015, Irkutsk (Russia)-Khankh (Mongolia)
• L. Altangerel: Penalty function approach and conjugate duality for Generalized Nash Equilibrium Problems, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, May 7, 2014
• L. Altangerel: Weak sharp minima in optimization problems and variational inequalities, in: Annual Conference on Mathematics and Computer Science, Ulaanbaatar, March 22, 2013
• L. Altangerel: Weak sharp minima in optimization problems and variational inequalities, in: The 4th International Conference on Optimization, Simulation and Control in Ulaanbaatar, Mongolia, July 1 – 4, 2013
• L. Altangerel: Generalized Nash equilibrium problems and conjugate duality, Seminar at CIMPA-UNESCO-SCHOOL INDIA, Generalized Nash Equilibrium Problems, Bilevel programming and MPEC New Delhi, November 25 – December 6, 2013
• L. Altangerel: An application of the oriented distance function to vector variational inequalities, in: Annual Conference on Mathematics and Computer Science, Ulaanbaatar, March 23, 2012
• L. Altangerel: Generalized Nash equilibrium problems with shared constraints and conjugate duality, in: Research Seminar Mathematical Programming, Humboldt University of Berlin, Germany, November 21, 2012
• L. Altangerel: Generalized Nash equilibrium problems and conjugate duality, in: Research Seminar Mathematics, Brandenburg University of Technology Cottbus, Germany, November 30, 2012
• L. Altangerel: Remarks on weak sharpness for gap functions in scalar and vector variational inequalities, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, December 5, 2012
• L. Altangerel: Generalized Nash equilibrium problems and conjugate duality, in: Russian-Mongolian Conference on Mathematical Modeling, Information Technology and Control of Young Scientists in Khanh, Mongolia, June 17 - 21, 2011.
• L. Altangerel: An application of the oriented distance function to vector variational inequalities, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, January 6, 2010
• L. Altangerel: An oriented distance function application to gap functions for vector variational inequalities, in: The International Conference on Optimization, Simulation and Control in Ulaanbaatar, Mongolia, July 25 – 28, 2010
• L. Altangerel: On some results of conjugate duality in vector optimization, in: V. International Symposium ”Generalized Statements and Solutions of Control Problems” in Ulaanbaatar, Mongolia, September 13 – 17, 2010
• L. Altangerel: Perturbation approach to generalized Nash equilibrium problems, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, November 11, 2009
• L. Altangerel: Variational principles for vector equilibrium problems via conjugate duality, in: The Second International Conference on Nonlinear Programming with Applications, Beijing, China, April 7 – 9, 2008
• L. Altangerel: Scalarized gap functions for vector variational inequalities via conjugate duality, in: International Symposium ”Generalized Solutions in Control Problems”, Ulan-Ude/Lake Baikal, Russia, June 23 – 28, 2008
• L. Altangerel: Gap functions for vector equlibrium problems via conjugate duality, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, June 13, 2007
• L. Altangerel: Conjugate duality in vector optimization and some applications to the vector variational inequality, in: The Second International Conference on Optimization and Optimal Control in Ulaanbaatar, Mongolia, July 17 – 20, 2007
• L. Altangerel: A duality approach to gap functions for variational inequalities and equilibrium problems, in: Defence of the Ph.D. thesis, Chemnitz University of Technology, Germany, July 25, 2006
• L. Altangerel: Conjugate duality in vector optimization and its applications to vector variational inequalities, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, January 26, 2005
• L. Altangerel: Variational principles for vector equilibrium problems related to the conjugate duality, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, May 11, 2005
• L. Altangerel: On gap functions for equilibrium problems, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, November 9, 2005
• L. Altangerel: On gap functions for equilibrium problems, in: The Workshop of the Ph.D. Students in Optimization, Freiberg, Germany, November 30, 2005
• L. Altangerel: On relations between the conjugate duality and gap functions for variational inequalities, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, November 10, 2004