*Curriculum Vitae *

**Evgeny**** Lakshtanov**

**Name: **Evgeny** **Lakshtanov (23/09/1979)

**Citizenship: **Russian, Portuguese.

**A****d****dress: **Prior M.A.Fernandes
28, 2Dto

Aveiro, 3800-816, Portugal

Telephone: +351 936 608 068

Email: lakshtanov@ua.pt

Homepage: http://sweet.ua.pt/lakshtanov/

**Synopsis: **I was born in Khmelnitsky, USSR in 1979. After completing the Phys.
Math. class in Chernogolvka in 1996 I studied
Mathematics at Moscow State University. In 2004 I finished my PhD (Kand. Nauk.) under supervision of
Robert Minlos. My thesis concerns applications of
Functional Analysis and Catastrophe Theory in statistical physics, in
particular in the description of properties of Gibbs fields. After defense of
my thesis I took a decision to study a new area from the beginning enlarging my
scientific background and accept the invitation of Alexander Plakhov to work on quantum analogue of Newton's minimal
resistance problems. This led me to University of Aveiro
where I was studying direct scattering problems and derivation of mathematical
models of propagation of sound. Since 2009 I have a synergistic collaboration
with Boris Vainberg. In 2011 Andreas Kirsch asked me
to study the theory of Interior Transmission Eigenvalues and it marks the
moment I turned from direct scattering problems to inverse scattering problems.
I was fortunate to collaborate with Roman Novikov,
Armin Lechleiter, Brian Sleeman,
and others. Since 2013 I hold a position of Principal Researcher at University
of Aveiro.

**Education:**

Specialist Degree in
mathematics, Moscow State University, 2001

PhD, Moscow State University, Dec/2004

Advisor: Robert Minlos

**Work e****xperience: **

2013/ 2018 Principal Investigator, FCT-Investigador, University
of Aveiro, Portugal

2005/ 2013 Postdoctoral
fellow, University of Aveiro,
Portugal

2004 / 2005 Teacher of mathematics, High School no.
75, Chernogolovka, Russia.

The authors right/trademark of the paper-and-pencil game: “Paper Minesweeper” has been registered in Portugal, the national
registration number is 1319/2009. The game is based
on the uniqueness theorem from [15]. file:///C:/Users/lakshtanov/Downloads/miolo_research_H4.pdf

**Publications: **

**Best 5:**

39. E. Lakshtanov,
J. Tejero, B. Vainberg, Uniqueness
in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities
in the Plane, **SIAM Journal on Mathematical Analysis**, 49, 2017,
3766-3775.

34. E. Lakshtanov,
R. Novikov, B.Vainberg, A
global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed
energy, **Rend. Istit. Mat. Univ. Trieste**, 48,
1-27. *Special issue in honor of G. Alessandrini's 60th birthday*, 2016.

27. E. Lakshtanov,
B. Vainberg, Bounds on positive interior transmission
eigenvalues, **Inverse Problems** *(Designated
by IP as a Featured article)* 28 (2012) 105005.

20. E. Lakshtanov,
V. Roshchina, Finiteness in the Card Game of War, **American
Math. Monthly**, 119:4, pp/318-323, 2012. *(In
the list of Notable Texts: **The Best Writing on Mathematics 2013**. Princeton University Press).*

23. F. Hausser,
E. Lakshtanov, Isotope uptake dynamics in the Ostwald
ripening model of recrystallization. **Phys. Rev. E** 86, 062601 (2012).

**Chapters in books:**

42. E.Kudryavtseva, E.Lakshtanov, ”Classification of Singularities and
Bifurcations of Critical Points of Even Functions”, In book: A.V.Bolsinov, A.T.Fomenko, A.A.Oshemkov (ed.), Topological Methods in the Theory of Integrable Systems,
Cambridge Scientific Publishers, pp. 173-214, 2006.

**Articles in refereed
journals.**

41. Egorov, Y., Komech, A., Kuchment, P., Lakshtanov, E., Mazya, V., Molchanov, S., Novikov R., Freidlin, M. (2018). Boris R. Vainberg
(on his 80th birthday), To appear in Russian Math. Surv.,
*arXiv** preprint arXiv:1805.11428*.

40. E.Lakshtanov,
B.Vainberg, Global solution of the initial value
problem for the focusing Davey-Stewartson II system, arXiv:1803.00955
[math-ph]

39. E.Lakshtanov,
J. Tejero, B.Vainberg,
Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz
Conductivities in the Plane, **SIAM Journal on Mathematical Analysis**, 49,
2017, 3766-3775.

38. E.Lakshtanov,
B.Vainberg, Solution of the initial value problem for
the focusing Davey-Stewartson II system. arXiv preprint arXiv:1604.01182, (2016).

37. E.Lakshtanov,
B.Vainberg, Recovery of Lp-potential
in the plane, **J. Ill-posed and inverse problems**, 25(5), 2017, 633-652.

36. E.Lakshtanov,
A.Lechleiter,
Difference Factorizations and Monotonicity in Inverse Medium Scattering
for Contrasts with Fixed Sign on the Boundary. **SIAM Journal on Mathematical
Analysis**, 48(6), (2016), 3688-3707.

35. E.Lakshtanov,
B.Vainberg, On reconstruction of complex-valued once
differentiable conductivities, **J. Spectr. Theory**
6, 4, (2016), 881-902, *Special issue in
memory of Yuri Safarov*.

34. E.Lakshtanov,
R.Novikov, B.Vainberg, A
global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed
energy, **Rend. Istit. Mat. Univ. Trieste**, 48,
1-27. *Special issue in honor of G. Alessandrini's 60th birthday*, 2016

33. E.Lakshtanov,
B.Vainberg, Uniqueness in potential scattering with
reduced near field data, **Comm. Partial Diff. Equations**, 42(6), 2017,
943-949.

32. E.Lakshtanov,
B.Vainberg, Recovery of interior eigenvalues from
reduced near field data, **Applicable Analysis**, 96(15), 2017, 2545-2552.

31. E.Lakshtanov,
B.Vainberg, Exceptional points in Faddeev
scattering problem, **Theoretical and Mathematical Physics**, 2017, 190:1,
77–90

30. E.Lakshtanov,
B.Vainberg, Sharp Weyl Law for Signed Counting
Function of Positive Interior Transmission Eigenvalues, **SIAM Journal on
Mathematical Analysis** 2015, Vol. 47, No. 4, pp. 3212-3234

29. E.Lakshtanov,
B.Vainberg, Weyl type bound on positive Interior
Transmission Eigenvalues, **Comm. Partial Diff. Equations**, 39, N 9,
(2014), pp.1729-1740.

28. E.Lakshtanov,
B.Vainberg, Applications of elliptic operator theory
to the isotropic interior transmission eigenvalue problem, **Inverse Problems**
*Special issue: Transmission eigenvalues*,
29 104003, 2013

27. E.Lakshtanov,
B.Vainberg, Bounds on positive interior transmission
eigenvalues, **Inverse Problems** *(Designated
by IP as a Featured article)* 28 (2012) 105005

26. E.Lakshtanov,
B.Vainberg,
Remarks on interior transmission eigenvalues, Weyl formula and branching
billiards, **J. Phys. A: Math. Theor**. 45 (2012)
125202 (10pp)

25. A.Aleksenko,
E.Lakshtanov, Finiteness of the playing time in
'Beggar-my-neighbour' card game, **Information Transmission
Problems**, vol.49, (2), pp. 89-93, 2013.

24. E.Lakshtanov,
B.Vainberg, Ellipticity in the interior transmission problem in
anisotropic media, **SIAM Journal on Mathematical Analysis**, 44,
pp.1165-1174, 2012.

23. F.Hausser,
E.Lakshtanov, Isotope uptake dynamics in the Ostwald
ripening model of recrystallization. **Phys. Rev. E** 86, 062601 (2012)

22. E.Lakshtanov,
B.Vainberg, A
priori estimates for high frequency scattering by obstacles of arbitrary shape,
**Comm. Part. Diff. Eq**. 37, pp.1789-1804, 2012.

21. E.Lakshtanov,
B.Sleeman, B.Vainberg, High frequency scattering with impedance b.c. on classically invisible body, **SIAM Journal on
Applied Mathematics**, 72, pp. 646-669, 2012.

20. E.Lakshtanov,
V.Roshchina, Finiteness in the Card Game of War, **American
Math. Monthly**, 119:4, pp/318-323, 2012. *(In
the list of Notable Texts: **The Best Writing on Mathematics 2013**. Princeton University Press)*

19. E.Lakshtanov,
Examples of Admissible Simplification of Mathematical Theories, **Kybernetes**,
Vol. 40 Iss: 9/10, pp.1523 – 1529, 2011.

18. B.Sleeman,
E.Lakshtanov, Acoustically invisible gateways, **Inverse
Problems and Imaging**, vol. 5, no. 1; pp.203-217 , 2011.

17. O.German, E.Lakshtanov, "Minesweeper" and spectrum of
discrete Laplacians, **Applicable Analysis**, Vol. 89, No. 12, December
2010, 1907–1916.

16. E. Lakshtanov, Boris Vainberg,
Resonance regimes of scattering by small bodies with impedance boundary
condition, **J. Phys. A: Math. Theor**. 43 (2010) 415205 (16pp)

15. O.German,
E.Lakshtanov, Application of harmonic analysis for
creating of pen-and-pencil games. **Math.
Notes**, vol. 88, 5-6, 2010.

14. E.Lakshtanov,
Spectral properties of the Dirichlet-to-Neumann
operator for exterior Helmholtz problem and its applications to scattering
theory, **J. Phys. A: Math. Theor**. 43 125204,
2010.

13. P.Cruz,
E.Lakshtanov, Explicit representation of Green
function for 3Dimensional exterior Helmholtz equation, **J. Theor. Math. Phys**, 157:2, 163–174, 2008.

12. A.Aleksenko, J.Cruz, E.Lakshtanov, High
frequency limit of the transport cross section in scattering by an obstacle with
impedance boundary conditions, **J.
Phys. A: Math. Theor**., 41(1), 255203 (5pp), 2008.

11. E.Lakshtanov,
R.Minlos. The Spectrum of Two-Particle Bound States
for the Transfer Matrices of Gibbs Fields (Adjacent Levels in Multidimensional
Fields), **Transactions of Mosc. Math. Soc**, 2008, 255-288.

10. O.German,
E.Lakshtanov, On
a multidimensional generalization of Lagrange's theorem on continued fractions, **Izv****.
Math.** vol.72:1, pp.47-61, 2008.

9. E. Lakshtanov,
“Short-wave limit of the scattering amplitude in an inhomogeneous medium”, **Russ. Mat. Surv.**
2007, 62:4.

8. W. de Roeck,
E.Lakshtanov, "Total cross section exceeds
transport cross section for quantum scattering from hard bodies at low and high
wave numbers", **J. Math. Phys.** 48, 013501 (2007)

7. A.Aleksenko,
W. de Roeck, E.Lakshtanov, Note
on the transport cross section, **J. Phys. A: Math. Gen**, 39(1),
pp.4251-4255, 2006.

6. E.Lakshtanov,
S.Pirogov, A.Aleksenko, One-
and two- particle bound states in the Landau quantum liquid model, **Lett.
Math. Phys**. 77(1), pp.83-98, 2006.

5. E.Lakshtanov,
E.Langvagen, Entropy of multidimensional cellular
automata, **Information Transmission
Problems,** vol.42, (1), 2006.

4. E.Lakshtanov,
R.Minlos, The Spectrum of Two-Particle Bound States
for the Transfer Matrices of Gibbs Fields (Adjacent Levels in Two Dimensional
Fields), **Functional Analysis and
Its Applications**, 2005, 39:1, 31–45

3. E. Lakshtanov,
E. Langvagen, Criterion of infinite topological
entropy for multidimensional cellular automata, **Information Transmission
Problems**, vol.40, (2), pp. 70-72, 2004.

2. E. Lakshtanov,
R. Minlos, The Spectrum of Two-Particle Bound States
f or the Transfer Matrices of Gibbs
Fields (an Isolated Bound State), **Functional Analysis and Its Applications**,
2004, 38:3, 202-216.

1. E. Lakshtanov,
Leading branches of the transfer-matrix spectrum for common lattice spin
systems with nearest-neighbours interaction, **Mosc.Math.Bull****.**, (6), p.3–7, 2004.

**Articles**** in national journals: **

E.Lakshtanov, L.Costa,
Sobre o papel dos Departamentos de Matematica na vida
e desenvolvimento da comunidade, arXiv:0806.3280v1 [math.HO] (In Portuguese). The role of Mathematics departments in life and the
development of community. APM (Journal
of Mathematics Teacher Education, Portugal.) Educação
e Matemática ,103, pp. 32-34, 2009

**Seminar Talks:**** **

Steklov Mathematical Institute of RAS, Moscow, Aug.2016

Probability theory seminar of the mathematics
department at the University of North Carolina at Charlotte, Oct.2015

International Seminar «Quasilinear equations and
inverse problems>> Moscow, 2014-08-06. (prof. R.Novikov)

Chebyshev Laboratory (St.Petersburg
State University), 2014-07-01.

Helsinki University, Feb. 2014 (Prof. L.Paivarinta)

University of Delaware, April 2014 (Profs. F.Cakoni, D.Colton)

University of Helsinki, Oct. 2012 (prof. Lassi Paivarinta)

University of Oulu, Finland Oct. 2012 (prof. V.Serov)

University College London, 30 Jan. 2012 (prof. Ya.Kurylev)

Moscow Acoustic Institute, 24 Nov. 2011 ( prof. M.Mironov)

St.Petersburg Dept of V.A.Steklov
Institute of Mathematics,
25 Aug. 2011 (prof.A.Kiselev)

Karlsruher Institut fuer Technologie (KIT), 7 June
2011, ( prof. A. Kirsch)

Nano-Science Center, University of Copenhagen, 4 April
2011, (Invitation by prof. Susan Stipp)

Centrum för teknikstudier, Malmo, 17 nov,
2010 (Invitation by prof. Alexei Iantchenko)

Univ. of Delaware, Delaware, 23 oct,
2009 (Invitation by prof. David Colton)

Univ. of North. Caroline, Charlotte, 21 oct, 2009 (Invitation by prof. BorisVainberg)

Northeastern University, Boston, 16 Oct, 2009 (Inviatation by prof. M.Shubin).

Moscow Acoustics institute, Moscow, Aug. 2009

Ludwig-Maximillians-Universitat, Munique, Dec, 2008
(Invitation by prof.Laszlo Erdoes).

Acoustics research institute, Vienna, 8 Nov, 2008.

Department of Mathematics and Statistics, Univ. of
Helsinki, 7 Aug. 2008

Institute for Theoretical Physics, University of
Zurich, 27 May 2008.

Institute for Information Transmission Problems, Moscow,
8 Jan. 2008

Applied Mathematics and Numerical Analysis Seminar,
ITS, Lisboa, 24 Jule 2007.

Landau Institute for Theoretical Physics, Moscow, 8
sept. 2006.

MSU Moscow, 25 aug. 2006.

CEOC seminar, Aveiro
University, 28 Feb. 2006.

Institute for Information Transmission Problems,
Moscow, 15 Sep. 2005

MSU,Moscow, 26 Jule, 2005.

RUB Bochum (Germany), 10 June, 2005 (Seminar of W.Kirsch).

CEOC seminar, Aveiro
University, 18 March. 2005.

CU Leuven (Belgium), 29 Jan. 2005. (Invitation by C.Maes)

MSU Moscow, May, 2004

**Conference ****Talks:**

1. XXIII Workshop on geometric methods in physics quantum and classical
systems, 27 June - 3 Jule 2004, Bialowieza, Poland

2. Applied Mathematics and Numerical Analysis Seminar, ITS, Lisboa, 24 Jule 2007.

3. 8th international conference, computational and mathematical methods
in science and engineering, June 13-16, 2008, La Manga del Mar Menor, Murcia, Spain.

4. The 9th International Conference on Mathematical and Numerical
Aspects of Waves Propagation, June 2009, Pau, France.

5. XVI International Congress on Mathematical Physics: August 3-8, 2009;
Prague, Czech Republic (Poster)

6. MMNS Workshop on Inverse Problems for Waves: Methods and
Applications, March 29 - March 30, 2010, Ecole Polytechnique , Palaiseau, France
(Poster)

7. Days on Diffraction, June 8-11, 2010 ,St. Petersburg, Russia.

8. The 11th International Conference on Mathematical and Numerical
Aspects of Waves Propagation, June 2013, Tunisia.

9.Workshop on Inverse Problems in Wave Propagation, Bremen, Germany,
April 2015

10. Spectral and Analytic Inverse Problems, Institut
Henri Poincare, May 2015

11. Quasilinear equations, inverse problems and their applications, Moscow
Institute of Physics and Technology, 2016

**Teaching**:

Nonlinear Analysis, Mestrado
em Matematica, University
of Aveiro, (Second semester 2013/2014).

Calculus II, various courses in engineering, University of Aveiro,
3 semesters. (Second semester of 2010/2011, 2011/2012, 2012/2013)

Calculus I, various courses in engineering, University
of Aveiro, 1 semester. (First semester of 2011/2012)

Dr. Evgeny Lakshtanov
is a CCPFC (Teachers Continuous Professional Development) with registration
number CCPFC/RFO-24190/08.

As a trainer, he was responsible
for the Training Courses

1."Solving
Problems for the third cycle of Elementary and Secondary Education",
registration number CCPFC/ACC-63630/10 (a total of 50 hours and 2 units of
credit).

2. “Basic
Mathematics from another point of view”, registration number CCPFC/ACC-66909/11
(a total of 25 hours and 1 units of credit).

**Personal Grants**:

2005-2008 Post-doc grant of national Portuguese science foundation FCT,

2008-2013 Post-doc grant of national Portuguese science foundation FCT.

2013-2018 FCT Development grant IF/01219/2012

**Participation in research
projects**:

Participation in projects: PTDC-MAT-72840-2006, Optimização da
Resistência Newtoniana para Corpos não convexos, 2007 – 2010

PTDC/MAT/113470/2009.
Dispersão de bilhares e aplicações na aerodinâmica de meios rarefeitos,
2011-2013

Leading in team grants preparation:

ERC EJD 2018: Modern methods of Harmonic
Analysis in Inverse Problems, Requested 2138000 euros, Evaluation 68.7 with the
Threshold 70

Portuguese National grant in frames of Horizont2020:
Call 2017. Requested 235000 euros.
Evaluation 4.01 with the Threshold 4.06

**Organization of conferences**: Around scattering
by obstacles and billiards, Aveiro, 2012.

http://sweet.ua.pt/lakshtanov/default.htm

**Organization of math. schools
for pupils:** Responsible for organization of the summer mathematical school for russian speaking children in Aveiro,
2015,2016,2017. https://uaonline.ua.pt/pub/detail.asp?c=43312

Dr. Evgeny Lakshtanov
is a CCPFC (Teachers Continuous Professional Development) with registration
number CCPFC/RFO-24190/08.

As a trainer, he was responsible
for the Training Courses

1."Solving
Problems for the third cycle of Elementary and Secondary Education", registration
number CCPFC/ACC-63630/10 (a total of 50 hours and 2 units of credit).

2. “Basic
Mathematics from another point of view”, registration number CCPFC/ACC-66909/11
(a total of 25 hours and 1 units of credit).