Mesut ŞAHiN                                                                    

Associate Professor, Department of Mathematics,

Hacettepe University, 06800, Beytepe, ANKARA-TURKEY

Email: mesut.sahin(at)hacettepe.edu.tr

http://www.researcherid.com/rid/H-5117-2018

https://orcid.org/0000-0002-0310-2542

Verdiğim Dersler

 

Çakılarası Matematk Köyü 2020

 

academic qualifications

Ph.D., Mathematics: Bilkent University, Ankara, Turkey, 2008

Dissertation: “Complete Intersection Monomial Curves and Non-decreasing Hilbert Functions

Supervisor: Prof. Dr. A. Sinan Sertöz

M.S., Mathematics: Bilkent University, Ankara, Turkey, 2002

Thesis: “On the number of elements generating an algebraic set”

Supervisor: Prof. Dr. A. Sinan Sertöz

B.S., Mathematics: Akdeniz University, Turkey, 2000

academic achievements and awards

• TUBITAK research grant 1001 as Principal Investigator (2019-2022).

• TUBITAK research grant 1001 as Principal Investigator (2014-2017).

• TUBITAK research grant 2219 for visiting Cleveland State University, Cleveland, USA (September 2012 –September,  2013).

Visiting scholarship for four months, The Abdussalam International Centre for Theoretical Physics, Trieste, Italy (May –September,  2010).

Support for participating in the Toric geometry and applications, Leuven, Belgium (June 6-10, 2011).

Support for participating in the International School Pragmatic, University of Catania Catania, Italy (June 9-28, 2003).

Support for participating in the Advanced School in Basic Algebraic Geometry, ICTP, Trieste, Italy (July 7-18, 2003).

Merit-based Full Scholarship for Ph. D.,  Bilkent University, Ankara, Turkey (2002 – 2008).

Merit-based Full Scholarship for M.S.,  Bilkent University, Ankara, Turkey (2000 – 2002).

Graduation Award with honor degree from Akdeniz University, Antalya, Turkey 2000, (ranked second among Mathematics and fourth among Faculty of Arts and Sciences graduates).

professional experience

Assoc. Prof. Dr.,  Hacettepe University Department of Mathematics (2014-Present).

Assoc. Prof. Dr.,  Çankırı Karatekin University Department of Mathematics (2012-2014).

Visiting Associate Professor,  Cleveland State University Department of Mathematics (2012-2013).

Assist. Prof. Dr.,  Çankırı Karatekin University Department of Mathematics (2010-2012).

Instructor,  Atılım University Department of Mathematics (2005-2009).

Teaching Assistant,  Bilkent University Department of Mathematics (2000-2005).

courses taught

Calculus I and II for Engineers, for Management and Economics and for Mathematics

Ideals, Varieties and Algorithms

Abstract Mathematics I and II

Analytic Geometry I and II

Linear Algebra I and II

Number Theory

Abstract Algebra

Differential Geometry

Algebra I and II

Algebraic Curves

Curves and Codes

Toric Varieties I and II

publications

1. On symmetric monomial curves in P3, Turk. J. Math. 33 (2009), 107-110.

2. Producing set theoretic complete intersection monomial curves in Pn, Proc. Amer. Math. Soc. 137 (4) (2009), 1223-1233.

3. Gluing and Hilbert functions of monomial curves (with F. Arslan and P. Mete), Proc. Amer. Math. Soc. 137 (7) (2009), 2225-2232.

4. Hilbert basis of the Lipman semigroup, C. R. Acad. Sci. Paris, Ser. I 348 (2010), 1311-1314.

5. Extensions of toric varieties, Electron. J. Comb. 18(1) (2011), P93, 1-10.

6. On free resolutions of some semigroup rings (with V. Barucci and R. Fröberg), J. Pure Appl. Algebra, 218 (6) (2014), 1107-1116.

7. Toric ideals of simple surface singularities (with G. Kaya and P. Mete),  Hacet. J. Math. Stat., 44(5) (2015), 1057-1069.

8. Equations Defining Recursive Extensions as Set Theoretic Complete Intersections (with T. Nhan),  Tokyo J. Math., 38(1) (2015), 273-282.

9. Multigraded Hilbert functions and toric complete intersection codes (with I. Soprunov), J. Algebra, 459 (2016), 446-467.

10. On Pseudo Symmetric Monomial Curves (with N. Şahin), Comm. Algebra 46 (2018), no. 6, 2561–2573,  http://arxiv.org/abs/1507.01288.

11. Toric Codes and Lattice Ideals, Finite Fields Appl. 52 (2018), 243–260., https://arxiv.org/abs/1712.00747

12. Liftings of a monomial curve, Bull. Aust. Math. Soc. 98 (2018), no. 2, 230–238, https://arxiv.org/abs/1803.07285

13. Betti numbers for certain Cohen-Macaulay tangent cones (with N. Şahin), Bull. Aust. Math. Soc. 99 (2019), no. 1, 68–77,  https://arxiv.org/abs/1803.07287

14. Gluing semigroups and strongly indispensable free resolutions (with L. Gold), Internat. J. Algebra Comput. Vol. 29(2019), No. 02, pp. 263-278, https://arxiv.org/abs/1710.09298.

15. Vanishing ideals of parameterised toric codes (with E. Baran), submitted, https://arxiv.org/abs/1802.04083

current research interests

Toric varieties and GIT quotients

• (Generalised) toric codes

• (Multigraded) Hilbert functions and free resolutions

Quiver representations and varieties

• Normal surface singularities

 

conferences and workshops organized

• Karatekin Mathematics Days: Combinatorics, Algebra, Geometry and Interactions, Çankırı, TURKEY 20 - 24 June 2011

Commutative Algebra and Applications to Combinatorics and Algebraic Geometry, Istanbul, TURKEY 12-25 September 2010

talks given

  Evaluation Codes on a Toric Variety, Workshop on Commutative Algebra and Combinatorics – II, ANKARA, TURKEY June 17 - 18, 2019

  Evaluation Codes on a Toric Variety, Workshop on Polynomials and Curves over Finite Fields, İSTANBUL, TURKEY May 20 - 22, 2019

  Evaluation Codes on Toric Varieties, International Conference on Mathematical Studies and Applications 2018, Karaman, TURKEY October 4th - 6th, 2018

• (invited) Lattice Ideals, Semigroups and Toric Codes, International meeting on numerical semigroups with applications, Cortona, ITALY September 3th - 7th, 2018

  Liftings of a monomial curve, Workshop on Commutative Algebra and Combinatorics – I, ANKARA, TURKEY May 4 - 5, 2018

(invited) Quiver Varieties (Ok veya Sadak Çeşitlemleri), Algebra Workshop, Afyon Kocatepe Üniversitesi, TÜRKİYE 29 Ocak 2017-2 Şubat 2018.

Toric Codes and Lattice Ideals, Second Romanian-Turkish Mathematics Colloquium, Galatasaray University, TURKEY October 25-29, 2017

Lattice Ideals and Toric Codes, Antalya Algebra Days XIX, İzmir, TURKEY May 17-21, 2017.

• (invited) Simitli Çeşitlem Kodları, 29. Ulusal Matematik Sempozyumu, Mersin Üniversitesi, Mersin, TÜRKİYE 28-31 Ağustos 2016.

• (invited) On Pseudo Symmetric Monomial Curves, International meeting on numerical semigroups with applications, Levico Terme, ITALY July 4th - 8th, 2016

• (invited) Geometric Serre’s Conjecture, 5th Rings, Modules and Algebras workshop, Hacettepe, Ankara, TURKEY 30 May-3 June 2016.

• (invited) Evaluation Codes on Toric Varieties, Antalya Algebra Days XVIII, İzmir, TURKEY 18-22 May 2016.

• (invited) Codes on Toric Varieties and Hilbert functions, METU General Seminar, Ankara, TURKEY 31 March 2016.

• (invited) Codes on Toric Varieties and Hilbert functions, Bilkent Algebra Seminars, Ankara, TURKEY 7 March 2016.

• (invited) Toric Codes and Hilbert functions, Ankara University Department Seminar, Ankara, TURKEY 11 November 2015.

Indispensable free resolutions, Antalya Algebra Days XVII, İzmir, TURKEY 20-24 May 2015.

• (invited) Toric Codes, Gazi University Department Seminar, Ankara, TURKEY 8 May 2015.

Multigraded Hilbert function and toric complete intersection codes,

1-International Congress of Mathematicians, Seoul, KOREA 13-21 August 2014.

2-International Conference on Algebra and Number Theory, Samsun, TURKEY 5-8 August 2014.

• ODTÜ-Bilkent Algebraic Geometry Seminars, Ankara, TURKEY, 2005-now, see http://sertoz.bilkent.edu.tr/ag-all-talks-speaker.htm#mesut

• (invited) Extensions of Toric Varieties, Special Session on Toric Algebraic Geometry and Beyond: October 20 - 21, 2012, AMS Central Fall Sectional Meeting, University of Akron, Ohio, USA.

• (invited) Toric varieties I-II, Cleveland State University Topology-Geometry-Algebra Seminars, Cleveland, OH, USA, September 28 and October 5, 2012.

• (invited) Hilbert basis of the Lipman semigroup I-II, Cleveland State University Topology- Geometry-Algebra Seminars, Cleveland, OH, USA, October 12 and 19, 2012.

• (invited) An invitation to toric algebraic geometry, Workshop on Combinatorial Commutative Algebra, Abant Izzet Baysal University, Bolu, TURKEY, August 26-28, 2011.

Hilbert basis of the Lipman semigroup,

1-İzmir Algebraic Geometric Topology Days II, İzmir, TURKEY 09-14 January 2011

2-Commutative Algebra and Applications to Combinatorics and Algebraic Geometry, İstanbul, TURKEY 12-25 September 2011

Toric ideals of simple surface singularities,

1-Bilkent-METU seminar, 20 March 2009

2-Antalya Algebra Days XI, Antalya, TURKEY 20-24 May 2009

Gluing and Hilbert functions of monomial curves, XXI. National Math. Symposium, Koç University, İstanbul, Turkey1-4 Sept. 2008

Gluing and tangent cones of monomial curves, Ankara Math. Days III, Ankara, Turkey 22-23 May 2008

• Tek Terimli Eğrilerin Genişlemelerinin İdealleri, XX. National Math. Symposium, Atatürk University, Erzurum, Turkey 3-6 Sept. 2007

Producing set-theoretic complete intersections monomial curves in Pn,

1-Commutative algebra and combinatorics II, Aristotales University Thselloniki, Greece 31 August-07 September 2007

2-Ankara Math. Days II, Atılım University, Ankara, Turkey 14-15 June 2007

3-GAEL XV, Sabancı University, İstanbul, Turkey18-22 June 2007

• İki Yüzeyin Tam Kesişimi olan (Tek Terimli) Eğriler, XIX. National Math. Symposium, Dumlupınar University, Kütahya, Turkey 22-25 Aug. 2006

professional services

• Panelist for TUBITAK

Referee for Archiv der Mathematik, Semigroup Forum, Turkish Journal of Mathematics, Hacettepe Journal of Mathematics and Statistics

Article Editor for Turkish Journal of Mathematics

Reviewer for Zentralblatt MATH

current professional memberships

Turkish Mathematical Society (TMD)