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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 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)
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