**Professor
of Mathematics**

**My
book “Methods of Solving Complex Geometry Problems” at famous Sorbonne University
bookstore, in Paris**

On August
19, 2013, I published my new book, **“**** Methods of Solving Complex Geometry Problems”**, which is available at http://www.springer.com/978-3-319-00704-5.

.

The book is
a unique collection of challenging geometry problems and detailed solutions
that will build students confidence in mathematics. By proposing several methods
to approach each problem and emphasizing geometries’ connection with different
fields of mathematics, this book serves as a bridge to more advanced problem
solving.

** Methods of
Solving Complex Geometry Problems **will interest high school and college students to prepare for exams as
well as anyone who enjoys an intellectual challenge and has a special love for
geometry. It will appeal to instructors of geometry, history of mathematics and
math education courses.

**At
2015 Students Research Symposium with graduate students**

**At Dallas Opera March 2015**

**I
at the International SIAM CP15 conference on optimal control with colleagues**

** **

**With
Governor Rick Perry**

__Research Interest__

Most of my papers emphasize
the utility of analytical methods and have been published in the area of the
application of optimal control and game theory to life science, business and
economics. Within this field of application, analytical methods of nonlinear
optimal control have the benefit of tractability and interpretability over the
conventional numerical methods through the type structures associated with
switching functions which yield in a natural way to game-theoretic analysis.

I am presently
actively engaged in the following specific research topics:

*1. **Optimization
of the waste water bio-treatment**. *Biological
treatment of the waste water involves using bacteria to remove waste products
and pathogens from the treated water. Thus, this problem is closely linked with
the problems of population dynamics and chemical kinetics. Furthermore, this
problem includes optimization which is needed to reduce cost and bust the
efficiency of the process.

*2. *** Mathematical
modeling in Ecology**. During the last decades various concepts of the
environmental pollution control have been developed. Establishing optimal working conditions and
control strategies is accomplished with the aid of mathematical models.

*3. *** Optimal
Control of HIV Treatment**. We created a nonlinear control model, which
describes the possible effects of medication intake on HIV infected patients. Lytic
and nonlytic mechanisms of reducing infected cells
are considered. Methods of analytical
and numerical investigation of such models are developed.

*4. **Differential games*** . **Our study is focused
on the theory and application of non-cooperative hierarchical differential
games. We examine the case where the maximum of the objective function exists
only on the boundary of the admissible set. Our particular interest is on
differential games with restriction on controls

*5.
**Research in math education***: USAMO Student
Preparation**. The
goal of this project is to prepare highly knowledgeable mathematics teachers
nationwide and particularly in Texas.

__Selected Publications__

**Grigorieva E. V. **and E.N. Khailov, **2011**.
“Optimal Control of Pollution Stock”, *Discrete
and Continuous Dynamical Systems*. Supplement Volume. PP 578-589

**Grigorieva, E.V**. and E.N. Khailov, **2011**. “A Hierarchical Differential Game
between a Manufacturer and the State in Ecological Setting” http://www.huichawaii.org/proceedings-publication/187-proceedings-publication-index,
pp.1-10.

**Grigorieva, E.V., 2011. **“Using
Technology to Teach and Solve Challenging Math Problems”, http://www.huichawaii.org/proceedings-publication/187-proceedings-publication-index,
pp.11-21.

**Grigorieva E. V. , **Bondarenko N.V.,** **E.N. Khailov, A. Korobeinikov **2011**. “Three-Dimensional Nonlinear Control Model of Wastewater Biotreatment”, *Proceedings
of the International Conference on Dynamic Systems and Applications 6 *(forthcoming)

**Grigorieva E. V. , **Bondarenko N.V.,** **E.N. Khailov, A. Korobeinikov **2011**. “Finite Dimensional Methods for optimal Control of Autothermal Thermophilic Aerobic Digestion”, book
chapter in "Industrial Waste” (forthcoming)

Bondarenko N.V.,**
Grigorieva E. V. **and E.N. Khailov, **2010**.
“Attainable Set for a 3-Dimensional Nonlinear System Describing the Process of
the Waste Water Cleaning”, *Vestnik** of Moscow
State University* (forthcoming)

**Grigorieva E. V. **and E.N. Khailov, **2010**.
“Minimization of Pollution Concentration on a Given Time Interval for the Waste
Water Cleaning Plant”, *Journal of Control
Sciences and Engineering*. Hindawi
Publishing Corporation, Article ID 712794

**Grigorieva, E.V**. and E.N. Khailov, **2010**. “Optimal Control of a Waste Water Cleaning Plant”, Proceedings
of UAB Conference on Differential Equations and Computational Simulations. : *Electron. J. Diff. Eqns.* 2010,
pp.161-175.

**Grigorieva, E.V**. and E.N. Khailov, **2010**. “Differential Game between
manufacturer and state incorporating ecological interaction”, in the book: “*Problems of Dynamic Control*” Vol. 4., Editor Academician Yu. Osipov.. Moscow, Moscow State University, pp 2.

**Grigorieva E. V.** and E.N. Khailov. 2009. “Hierarchical Differential
Game between Manufacturer, Bank and Retailer”. *Journal of Nonlinear Dynamics and Control,* Vol 15(2009), No. 3
(July), pp. 359--391

**Grigorieva E. V.** and E.N. Khailov. 2008. “Nash Equilibrium in the Differential Game between Manufacturer and Retailer”.
*Problems of Dynamic Control.* Vol.3,
ISBN 978-5-89407-351-4. Moscow State University, pp. 21-31.

**Grigorieva E. V. **and E.N. Khailov. 2008. “Hierarchical Differential Games
between Manufacturer and Retailer with Storage Costs”. *International Review of Automatic Control*, Vol.1, No.3, pp. 396-406.

**Grigorieva E. V. **and E.N. Khailov, 2007**.
**“Game Approach to the Description of Interaction Between
Manufacturer and Retailer”, *Problems of
Dynamical Control*. No.2, pp. 49-70.

**Grigorieva E. V.** and E.N. Khailov,
2005. “An Attainable Set of a Nonlinear Controlled Microeconomic Model”. *Journal of Nonlinear Dynamics and Control,*
Vol. 11, No. 2, 157-176.

**Grigorieva,
E. V. **and E. N. Khailov. 2005.** **“Description
of an Attainable Set for a Nonlinear Controlled System in the Plane.” *Vestnik** of Moscow
University*, Vol. 15, N 3, pp. 23-28**. **

**Grigorieva E.V. **and E.N. Khailov. 2005.“Solution with the
Infinitely Many Switching for the Two-Point
Boundary Value Problem of the Maximum Principle” *Modern Mathematics and Its Applications in Economics*”, Academy of
Science Press, Moscow.

**Grigorieva E.V. **and E.N. Khailov. 2005.
“Microeconomic Model Controlled by the Price of the Good”. *Modern Mathematics** and Its Applications in Economics*”, Academy of Science Press,
Moscow.

**Grigorieva. E.V. **2005**.
“**On the boundary of an attainability set
for a nonlinear microeconomic systems controlled by the rate of production and
price of the good.” *Mathematical Models in Economics and Ecology, Moscow:
MAX Press, pp. 39-43.*

**Grigorieva. E.V. **2004.**
**“On the Attainability
Set of a Nonlinear Controlled Model with the Price as a Control Parameter.” *Mathematical
Models in Economics and Ecology*, Moscow: MAX Press, pp. 35-38.

**Grigorieva,
E. V**. 2003. “On
Attainable Set of a Bilinear Controlled Microeconomic System” *Mathematical Models in Economics and Biology*,
MAX Press, pp. 44-47.

**Grigorieva, E. V.** and E. Khailov, 2002**. “**On the Attainability Set for a Nonlinear System in the Plane”, *Vestnik** of* *Moscow University*. Allerton Press, Vol.15, No 4, pp. 25-30.

**Grigorieva, E. V. **2001.** **“The Attainable Set of a Bilinear Controlled System Describing the
Process of Production, Storage and Sales of Merchandise”. *Mathematical Models in Economics and Biology*, MAX Press, Moscow, Russia, pp. 43-46.

__Selected
Presentations__

**Grigorieva E.V.**
presented 20 minutes talk “Reduction of the operation cost via optimal control
of an industrial wastewater bio-treatment process” at the MAA Special Session
on Mathematics Experience in Business, Industry, and Government, at the Joint
AMS-MAA Mathematics Meeting, Boston, MA, January 5,
2012.

**Grigorieva E.V**. and Khailov
E.N. “Hierarchical Game between Manufacturer and the State Incorporating Ecological
Interactions” Invited 45 minutes talk at the XVII SIMMAC International
Conference, San Jose, Costa Rica, February 17, 2010.

**Grigorieva E.V**. "Differential
games between manufacturer and retailer with storage costs”, the 89th Annual
MAA Meeting, April 17, 2009.

**Grigorieva E.V.** (**Keynote Speaker**, 45 minutes
talk)”Hierarchical Differential Games between Manufacturer and Retailer”, *International Conference "Differential*
*Equations and Topology” *in
commemoration of the 100^{th}
anniversary of Lev Pontryagin (1908-1988).
(June 17-22, 2008)

__Presently Teaching__

· Linear Algebra

· History of Math for Graduate Students

· Business Analysis I

· Advanced Calculus MATH 5033