# Bogdana Atanasova Georgieva

# Web Page of Prof. Bogdana A. Georgieva

I am an associate professor of mathematics at the Department of Mechatronics, Robotics and Mechanics at the Faculty of Mathematics and Informatics of Sofia University "Kliment Ohridski" in Sofia, Bulgaria. I earned my Ph.D. degree in mathematics in 2001 at the Department of Mathematics of Oregon State University, Oregon, USA. Here is a concise information about my professional activities.

**The courses I teach at the Faculty of Mathematics and Informatics of Sofia University are**:

Fall Semesters:

1. **Problems in Analytic Mechanics**

2. **Calculus of Variations**

Spring Semesters:

1. **Mechanics of Continuous Media**

2. **Applications of Lie Groups in Differential Equations**

** Education **

- Oregon State University, Oregon, USA, 2001 Ph.D. in Mathematics
- University of Oregon, Oregon, USA, 1997 M.S. in Mathematics
- Lewis Clark College, Oregon, USA, 1994 B.S. in Mathematics
- Sofia Mathematical High School, Sofia, Bulgaria, Diploma 1988

**Area of Specialization**

Theoretical and Applied Mechanics of Continuous Media. Applications of Calculus of Variations in Analytic Mechanics.

**Doctoral Dissertaion in Mathematics **

Georgieva B., Noether-type theorems for the generalized variational principle of Herglotz, Doctoral Dissertation in Mathematics (2001),

published by ProQuest LLC, Ann Arbor, MI 48108, USА

**Participation in Summer Research Programs**

- Mathematical Sciences Research Institute, Berkeley, California, USA Summer Program on Minimal Surfaces, 2001
- Mathematical Sciences Research Institute , Berkeley, California, USA Summer Program in Lie Groups and the Method of the Moving Frame. Exterior Differential Systems, 1999

**Professional Visit **

Stanford University, Mathematics Department, Stanford, California, USA, Winter Semester 2003

**Award**

Cora Kempter Meyer Award for Teaching Excellence in Mathematics, 2002, USA

** Books **

- Published Textbook

Bogdana Georgieva,**Foundations of Mathematical Analysis and Differential Equations**, Dedrax Printing House, Sofia 2018, ISBN 978-619-91058-0-1 - Published Translation of a Book

Minor Clyde Hawk,**Descriptive Geometry,**Translation from English by Bogdana Georgieva, Dedrax Printing House, Sofia 2018, ISBN 978-619-188-180-2

**Published Research Papers **

- Georgieva, B., Bodurov, T., Identities from infinite-dimensional symmetries of Herglotz variational functional, Journal of Mathematical Physics 54 (2013), 062901, 1-16.
- Georgieva, B., Multiparameter contact transformations, Proceedings of Fourteenth International, Conference on Geometry, Integrability and Quantization, June 8-13, 2012, Varna, Bulgaria, 87-102.
- Georgieva, B., Symmetries of the generalized variational functional of Herglotz for several independent variables, Journal for Analysis and Its Applications 30 (3), (2011), 253-268.

(Journal рublished by the European Mathematical Scociety, DOI:10.4171/ZAA ) - Georgieva, B., The variational principle of Herglotz and related results, Proceedings of Twelfth International Conference on Geometry, Integrability and Quantization, June 4-9, 2010, Varna, Bulgaria, Vol.12 (2011), 214-225.
- Georgieva B., Symmetries of the Herglotz variational principle in the case of one independent variable, Annuaire de l'Universite de Sofia "St. Kl. Ohridski" 100 (2011), 113-122.
- Georgieva B., Guenther R., Second Noether-type theorem for the generalized variational principle of Herglotz, Topological Methods in Nonlinear Analysis 26 (2005), 307-314.
- Georgieva, B., Guenther, R., Bodurov, Th., Generalized variational principle of Herglotz for several independent variables. First Noether-type theorem, Journal of Mathematical Physics Vol.44, no.9 (2003), 3911-3927.
- Georgieva B., Bodurov T., Nonlinear Schrodinger equation whose nonlinearity is a step function, International Journal of Differential Equations and Applications, Vol. 7 no.4, (2003) 443-452.
- Georgieva B., Guenther, R., First Noether-type theorem for the generalized variational principle of Herglotz, Topological Methods in Nonlinear Analysis, 20 (2002), 261-273.
- Georgieva B., Noether-type theorems for the generalized variational principle of Herglotz, Doctoral Dissertation in Mathematics (2001),

published by ProQuest LLC, Ann Arbor, MI 48108, United States - Bodurov Тh., Georgieva B., Complex Hamiltonian evolution equations, International Journal of Differential Equations and Applications, Vol. 1A, No.1 (2000) , 15-22.

Invited Lecture at the Tenth International Colloquium on Differential Equations, Plovdiv, Bulgaria, 1999

**Directing of a Research Project in the Mathematical Sciences **

"The Symmetries of the Variational Principle of Herglotz", Sponsored by the Bulgarian Science Foundaton, Research Grant 288/09.

**Research Talks at Conferences **

- Jubilee Conference of the Faculty of Mathematics and Informatics on the occation of 120 years of the founding of Sofia University "Kliment Ohridski", 24 октомври, 2009, Sofia, Bulgaria
- Conference of the Faculty of Mathematics and Informatics, Sofia University "Kliment Ohridski" March 28, 2009, Sofia, Bulgaria
- Joint Mathematics Meetings of the American Mathematical Society January 5-8, 2005, Аtlanta, Georgea , USA
- Joint Mathematics Meetings of the American Mathematical Society January 15-18, 2003, Baltimore, Меriland, USA
- Joint Mathematics Meetings of the American Mathematical Society January 6-9, 2002, San Diego, California, USA
- Second International Conference on Teaching of Mathematics, Crete, Greece, July 2002
- Joint Mathematics Meetings of the American Mathematical Society January 10-13, 2001, New Orleans, Louisiana, USA
- Tenth International Colloquium on Differential Equations, Plovdiv, Bulgaria, Аugust 1999

**Participation in a Symposium**

Symposium in Applied Mathematics, Society For Industrial And Applied Mathematics, SIAM, University of Seattle, Washington, USA, 2001

** Some Citations of My Papers **

- Zhang, Y. Variational problem of Herglotz type for Birkhoffian system and it's Noether's theorems, Acta Mechanica (2017) doi: 10.1007/s00707-016-1758-3

- cites 4 my articles - Santos. S., Martins, N., Torres, D., Noether currents for higher-order variational problems of Herglotz type with time delay, Discrete and Continuous Dynamical Systems - Series S, accepted March 31, 2017

- cites 3 my articles - Abrunheiro, L., Machado, L., Martins, N., The Herglotz variational problem on spheres and its optimal control approach, Journal of Mathematical Analysis (2016) Vol.7 issue 1, 12-22

- cites 5 my articles - Zhang, Yi, Generalized variational principle of Herglotz type for nonconservative system in phase space and Noether's theorem, Chinese Journal of Theoretical and Applied Mechanics, Vol. 48, No.6, (2016) 1382-1389

- cites 3 my articles - Santos. S., Martins, N., Torres, D., Higher-order variational problems of Herglotz type with time delay, Pure And Applied Functional Anaysis, accepted March 12, 2016

- cites 3 my articles - Santos. S., Martins, N., Torres, D. Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem, Discrete And Continuous Dynamical Systems - Series A, (September 2015) issue 9, 4593-4610

- cites 5 my articles - Santos. S., Martins, N., Torres, D. Higher-order variational problems of Herglotz type, Vietnam Journal of Mathematics Vol. 42 no. 4 (2014) 409-419

- cites 4 my articles - Santos. S., Martins, N., Torres, D. An optimal control approach to Herglotz variational problems in Optimization In The Natural Sciences. EmC-ONS 2014. Communication In Computer and Information Science Vol.499, Springer

- cites 1 my article - Donchev, V., Variational symmetries, conserved quantities and identities for several equations of mathematical physics, Journal of Mathematical Physics 55, 032901 (2014)

- cites 6 my articles - C. Ventura, Numerical Investigation of a Class of Nonlinear Schrodinger Equations, American Journal of Undergraduate Research Vol.3, No.2 (2004), pp. 9--16

- cites 1 my article

cites 1 my article

**Professional Membership**

I have been a member of the American Mathematical Society since 1994.

** Hobbies**

- I enjoy hiking in the mountains.

- I am a member of the Union of the Bulgarian philatelists.

**Contact**: georgieva@fmi.uni-sofia.bg

**Address**: Bogdana A. Georgieva

Department of Mechatronics, Robotics and Mechanics,

Faculty of Mathematics and Informatics,

Sofia University "Kliment Ohridski",

5 James Bourcher Blvd.

Sofia1164, Bulgaria