Mahdieh Tahmasebi
Assistant Professor
Speciality: Pure Math
  • BS/BA: Mathematics
  • MS: Mathematics
  • PhD: Mathematics
  • Phone: 82884481
  • Fax:
  • Email: tahmasebi@modares.ac.ir
  • Address: School of Mathematical Sciences, Tarbiat Modares University
  • Resume Download
 

Curriculum Vitae

 

Name:                                                  Mahdieh Tahmasebi

Present Position:                                 Assistant professor

Address of Correspondence:               Tarbiat Modares University

email Address:                                    tahmasebi@modares.ac.ir

Nationality:                                         Iranian

Date and Place of Birth:                     22/09/1980, Tehran (Iran)

 

                                   

 

Education

2005-2011

Ph.D. in Mathematics. Major: SDEs. Sharif University of Technology (Tehran, Iran).

2002-2004

M.Sc. in Mathematics. Major: Probability methods in graphs. Sharif University of Technology (Tehran, Iran).

1998-2002

B.S. in Mathematics. University of  Shahid Beheshti (Tehran, Iran).

 

 

 

 

Courses Passed in Ph.D.

 

 

 Stochastic Analysis, Stochastic Differential Equations, Probability Theory, Semigroup theory for Linear  Operators, Financial Mathematics, Advanced Numerical Solution ,

Theory of Partial Differential Equations, Elliptic Differential Equations, Sobolev Spaces

 

 

 

Subject of  Research in Ph.D.

 Malliavin Calculus and Numerical Solution of SDEs with Monotone Drifts

 

 

 

 

 

Research Interests

Malliavin Calculus, Mathematical Finance, Stochastic Optimal Control, Finite and Infinite dimensional Stochastic Equations, Stochastic Analysis, Numerical solution of SDEs.

 

 

 

 

Lectures  in  Seminars

1-                M. Tahmasebi and Sh. Zamani. The Malliavin Calculus and Stochastic Differential Equations. The 7th Seminar of Mathematical Analysis and its Applications, Arak university, Iran(23-24 Apr 2008).

2. M. Tahmasebi and Sh. Zamani,  The Malliavin Calculus and Numerical solution of Stochastic Differential Equations, Shiraz university, Iran, The 3th Workshop in Applied Stochastic Processes (11-12 Jun 2008).

3. M. Tahmasebi and  Sh. Zamani,  Weak Numerical Solution of Stochastic Differential Equations, Isfahan university of Technology, Iran. The 8th Seminar of Differntial Equation, Dynamical Systems and its Applications (19-21 Jul 2008).

4. M. Tahmasebi, Mallaivin Calculus and Applications. Iran, Zanjan, Inistitute for Advanced Studies in Basic Sciences‎ (5 May 2010).

5. M. Tahmasebi, Application of Malliavin Calculus for SDEs with Monotone Drifts. IPM, Tehran, Iran, The 6th International Iranian Workshop on Stochastic Processes (18-20 May 2010).

 

6. A. Bastani and M. Tahmasebi, Strong Convergence of Split-Step Backward Euler Method for SDEs with Non-smooth Drift, Iran, University of Science and technology,The 7th International Iranian Workshop on Stochastic Processes (30 Nov and 1,2 Dec 2010).

 

7. M. Tahmasebi, Malliavin Calculus Applied to Finance. Zanjan, Iran, ‎Institute for Advanced Studies in Basic Sciences‎, The ‎2‎th International Iranian Workshop on ‎Mathematical‎ ‎Finance‎‎ )17‎ ‎Feb‎‎‎ ‎2011).‎

 

8-M. Tahmasebi, Malliavin Calculus for Stochastic Differential Equations with Semi-Monotone Drift,

IPM, Tehran, Iran, The 9th International Iranian Workshop on Stochastic Processes (25-27 Oct 2011).

 

9. M. Tahmasebi, Malliavin Calculus and its Applications in Mathematical Finance, 3rd Seminar of

Mathematics and Humanities, Allameh Tabatabai University, Tehran, Iran,(23-24 April, 2014).

 

10. (Invited Lecturer) M. Tahmasebi, Statistical Inferences and Stochastic Optimal Control with

Malliavin Calculus, The 13th Workshop on Random Processes and its Applications, IPM-Isfahan

Branch, Isfahan, Iran, (April 29 - May 1, 2014).

 

11. M. Tahmasebi, Weighted Integration to solutions of SDE’s with Uniformly Elliptic Diffusion, The

10th seminar on Prbability and Stochastic Processes, Yazd University, Iran, (19-20 Aug 2015).

 

12. M. Tahmasebi, Malliavin Calculus Monte-Carlo Approach in Financial Mathematics, The 2nd

FINACT-IRAN Conference on Financial and Actuarial Mathematics, IPM, Tehran, Iran, (15-17 Aug

2015).

 

 

 

 

 

 

 

 

Publications:

 

1-StrongConvergenceofSplit-StepBackwardEulerMethodforStochasticDifferentialEquationswith Non-SmoothDrift,  AliForoushBastani,MahdiehTahmasebi,JournalofComputationalandApplied Mathematics,Volume236,Issue7,  January2012,  pp1903-1918.

 

2-Smooth  density  for  the  Solution  of  Scalar  SDEs  with  Locally  Lipschitz  Coefficients   under

Hormander  Condition,   Mahdieh  Tahmasebi,  Statistics  &Probability  Letters,Volume85,February

2014,Pages51-62.

 

3-WeakDifferentiabilityofSolutiontoSDEswithSemimonotoneDrifts,M.Tahmasebi&S.Zamani,

     Bull. IranianMath. Soc., Volume 41 (2015), No. 4,  pp. 873-888.

 

4-  AnLPVbasedrobustpeak-to-peakstateestimationforgeneticregulatorynetworkswithtime varyingdelay,  M.MohammadianandH.R.MomeniandH.S.KarimiandI.Shafikhaniand M.Tahmasebi,Neurocomputing,Volume160,2015,pp261-273.

 

5-H∞Sampled-dataControllerDesignforStochasticGeneticRegulatoryNetworks,Preprintedon

IJEEE,  M.Tahmasebi,H.R.Moemni,M.Mohammadian,  Iranian Journal of Electrical & Electronic Engineering, Volume 11, No. 3, Sep. 2015.

 

6-Commentson“SolvingnonlinearstochasticdifferentialequationswithfractionalBrownianmotion usingreducibilityapproach”,[NonlinearDyn.67,2719–2726(2012)],V.J.Majd,

M.Tahmasebi&K.Khandani,Volume82,Issue3,2015,pp1605-1607.

 

7- Robust Stabilization of Uncertain Time-Delay Systems with Fractional Stochastic Noise Using the Novel Fractional Stochastic Sliding Approach and its Application to Stream Water Quality Regulation,

V.J.Majd, M.Tahmasebi&K.Khandani,  IEEE Transactions on Automatic Control · January 2016,

   DOI: 10.1109/TAC.2016.2594261

 

8-Integralslidingmodecontrolforrobuststabilizationofuncertainstochastictime-delaysystems drivenbyfractionalBrownianmotion,K.Khandani;V.J.MajdandM.Tahmasebi,International Journal of Systems Science Volume 48, No 4, 2017, 828-837.

 

9-IntegrationbyPartsFormulaandSmoothnessofDensitiesofSolutionstoSDE'swithMonotone Drift and their applications,M.Tahmasebi,Submitted.

 

10-The multi-scale method for solving nonlinear time space fractional partial differential equations,  H.Aminikhah,M.  TahmasebiandM.M.Roozbahani,IEEE/CAA Journal of Automatica Sinica, DOI:10.1109/JAS.2016.7510058.

 

11Numericalsolutionforthetimespace-fractionalpartialdifferentialequationsbyusingwaveletmulti- scalemethod,H.Aminikhah,M.  TahmasebiandM.M.Roozbahani, submitted   UPB Scientific Bulletin-Series A-Applied Mathematics and Physics.

 

 

 

 

 

 

 

 

 

 

Projectofmy GraduateStudents:

 

1.  M.Aieni,SensitivityofParameterandErgodicityofCIRProcessesanditsApplications,    

MS.c.Thesis.2015.

 

2.   Z.Ebrahimi,BackwardStochasticDifferentialEquationsandConstructionofOptimal

Portfolioinjumpdiffusionmodels,MS.c.Thesis. 2015.

 

2.    E.Zalshovey,MultilevelandAdaptiveMonteCarloMethodstoComputeExpectationoffirst    

exittimeandPayoffwithfreeParameter,MS.c.Thesis.(jointwithM.R.Eslahchi)., 2015.

 

4.   J.Ghorbani,OnOptimalProportionalReinsurenceandInvesmentinaPartialMarkovian

Regime-SwitchingEconomy,MS.c.Thesis,2016.

 

5.   F.Alibeygi,RiskManagementandPricesofCredirRiskyProductsunderCompleteand

IncompleteInformation,MS.c.Thesis,Jan. 2017.

 

6.   M.Pourheydar,Considering  Reinsurence Optimal Control ProblemwithDynamicRiskConstraint,

     MS.c.Thesis, Feb. 2017.

 

7.   S.Ostovari,TheRelationbetweenCreditDefaultSwapsandFinancialStabilityonSystemic

Risk,MS.c.Thesis,(jointwithM.A.Rastegar), Nov. 2016.

 

8.   Z.Mardani,InvestigatingStructuralCreditRiskModelsunderStochasticVolatility,MS.c.

Thesis,(jointwithM.JafariKhaledi), Jan. 2017.

 

9.   M.M.Vakili,OptimaltimingforAnnuitizationinjumpdiffusionmodelwithStochastic

Volatility,MS.c.Thesis, Feb. 2017.

 

 

 

 

 

 

 

 

Participating in Workshops, Competitions and Courses:

 

-The 34th Iranian Mathematics Conference, Shahrood, Iran (30 Aug-2 Sep 2003)

-The 25th and 26th Mathematics Competitions of IMS.Institute for Advanced Studies in Basic Science, Zanjan, Iran,

-Workshopon Stochastic Partial Differential Equations. Institute for Advanced Studies in Basic Science, Zanjan, Iran,Lecturers: Etienne Pardoux(Universite de Provence, France) and Jonathan Mattingly (Duke University, USA) , (29 May- 7 June 2006).

-2nd  Workshop  on Stochastic Processes, Department of Statistics, AUT  (22-24 Oct 2007). 

-Course of  Malliavin Calculus   : During in the second trip to Inria.

-Course of  Martingale Problems : During in the second trip to Inria.

 

 

 

 

Teaching Experence

(asAssistantProfessorinTarbiatModaresUniversity)

-RealAnalysis                                                                                :Fall2012-2013,Spring2015-2016

-StochasticdifferentialequationsandStochasticcontrol            :Fall2012-2013

-AppliedFunctionalAnalysis                                                       :Spring2013

-StochasticProcesses                                                                     :Fall2013-2014-2016

-FinancialMathematicsI                                                              :Spring2014-2015

-StochasticDifferentialEquations                                                :Spring2015

-FinancialMathematicsII  (Levy Processes)                                :Fall2015

-RiskManagementandPricing                                                     :Fall2015

-Probability and Measure Ttheory                                                 :Fall 2016

 

 

(as tutorial and marking in Sharif university)

  -CalculusII                             : Spring 2005         

  -CalculusII                             : Spring 2006         

  -CalculusII                             : Spring 2007         

  -Real Analysis                      : Fall 2007             

  - Stochastic Process              : Fall 2007            

  - Applied Stochastic Process: Fall 2008    

  - Stochastic Analysis            : Spring 2008       

  - Probability Theory             : Spring 2011      

(as TA: tutorial and marking in Tarbiat Modarres university)

  - Probability Theory 2   : Spring 2011 

(as TA: tutorial and marking)         (Beheshti university)

 

 

Study  Opportunities

-          France,  Sophia Antipolis,  Inria  20 April- 30 May 2009,I was financially supported by  France Inria Institute .

-          France,  Sophia Antipolis,  Inria   1 Dec 2009- 15 Apr 2010, I was financially supported by  France Inria Institute .

 

 

 

 

List of interested subjects to work in future:

 

1)      Compute the  conditional value at risk, entropy value at riskand expected short fall in Malliavin framework and its applications in optimal control with Var type constraints.

2)      Numerical method based on Malliavin calculus to solve optimal control problem for mean-field process driven by Levy processes and its applications in Finance.

3)      Variance reduction method with Malliavin calculus to compute  the  first exit time of a Levy process (even for SDE with monotone drifts).

4)      Stochastic optimal portfolio in Levy models (especially in insurances models) with or without anticipating  environment,  insider trading and regime-switching: Malliavin approach

5)      Malliavin calculus for estimation of time-varying regression of  Levy models  and applications in finance  and signal processing.

6)      Considering Positive Harris recurrence property and Ergodicity of  Levy-CIR-models.

7)      …….