Department of Mathematics

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Journal Publications 201720162015201420132012201120102009200820072006200520042003200220012000

You can find the older journal publications here.

  2017

  • Karakurt C., Oba T., Ukida T., Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks, Topology and its Applications 221C (2017) pp. 630-637. DOI: 10.1016/j.topol.2017.02.072.

  2016

  • Deger, N.S., Moutsopoulos, G., Supersymmetric solutions of N = (2, 0) topologically massive supergravity, Class. Quantum Grav. 33 155006, doi:10.1088/0264-9381/33/15/155006, 2016.
  • Karakurt C., Starkston L., Surgery along star-shaped plumbings and exotic smooth structures on 4–manifolds, Algebraic & Geometric Topology 16-3, 1585--1635. DOI 10.2140/agt.2016.16.1585, 2016.
  • Hom J., Karakurt C., Lidman T., Surgey obstructions and Heegaard Floer homology, Geometry & Topology 20-4, 2219--2251. DOI 10.2140/gt.2016.20.2219, 2016.
  • Elias, Y., Lauter, K., Ozman, E., Stange, K., RLWE Cryptography for the Number Theorist, Association for Women in Mathematics Series, Volume 3, Springer, DOI:10.1007/978-3-319-30976-7, 2016.
  • Bozma, I., Ozturk, F., Senel, D., Finding optimal isomorphic goal adjacency, IEEE International Conference on Robotics and Automation, 2016.
  • Bozma, I., Ozturk, F., Sequential gradient dynamics in real analytic Morse systems, Dynamical Systems: An International Journal, DOI: 10.1080/14689367.2016.1172557, 2016.

  2015

  • Bassa, A., Beelen, P., Nguyen, N., Good families of Drinfeld modular curves, LMS Journal of Computation and Mathematics, 18(1) (2015), 699-712.
  • Bassa, A., Beelen, P., Garcia, A., Stichtenoth, H., Towers of Function Fields over Non-prime Finite Fields, Moscow Mathematical Journal Vol. 15(1), (2015), 1-29.
  • Coskun, O., Inducing native Mackey functors to biset functors, Journal of Pure and Applied Algebra, 219 (2015), 2359-2380, http://arxiv.org/abs/1408.2627
  • Bucur, A., David, C., Feigon, B., Kaplan, N., Lalin, M., Ozman, E., Wood, M. M., The distribution of F q-points on cyclic l-covers of genus g, International Mathematics Research Notices 2015, DOI: 10.1093/imrn/rnv279.
  • Ciperiani, M., Ozman, E., Local to Global Trace Questions and Twists of Genus One Curves, Proceedings of American Mathematical Society, 143 (2015), 3815-3826, http://dx.doi.org/10.1090/proc/12560.
  • Bouw, I., Cooley, J., Lauter, K., Garcia, E., Manes, M., Newton, R., Ozman, E., Bad reduction of genus-3 curves with complex multiplication, Women in Numbers Europe, Research Directions in Number Theory, Association for Women in Mathematics Series, Volume 2, Springer, (2015) DOI: 10.1007/978-3-319-17987-2.
  • Elias, Y., Lauter, K., Ozman, E., Stange, K., Provably Weak Instances of Ring-LWE, Advances in Cryptology -- CRYPTO 2015, 63-92, Springer (2015), DOI: 10.1007/978-3-662-47989-6.
  • Ozturk, F., Salepci, N., Real open books and real contact structures, with N. Salepci, Advances in Geometry, Volume 15, Issue 4, (2015).

  2014

  • Eden, A., Kalantarov, V. K., Zelik, S. V., Infinite-energy solutions for the Cahn-Hilliard equation in cylindrical domains, Math. Methods Appl. Sci. 37 (2014), no. 13, 1884–1908.
  • Gillam, W.D., Giansiracusa, N., On Kapranov's description of M'_{0,n} as a Chow quotient, Turkish J. Math. 38 (2014), no. 4, 625–648.
  • Sonmez, C., Durmaz Incel, O., Isik, S., Donmez, M.Y., Ersoy, C., Fuzzy-based congestion control for wireless multimedia sensor networks, EURASIP Journal on Wireless Communications and Networking 2014: 63, 2014. http://jwcn.eurasipjournals.com/content/2014/1/63
  • Akemann, C., Anderson, J., Tanbay, B., Weak Pavability and the Kadison-Singer Problem, J. of Operator Theory, 71, 2014.
  • Tanbay, B., A Letter on the Kadison-Singer Problem, Rev. Roumaine Math. Pures Appl. 59 (2014), no.2, 723--735.
  • Öztürk, F., Salepci, N., A real open book not fillable by a real Lefschetz fibration. Internat. J. Math. 25 (2014), no. 4, 1450031, 7 pp.

  2013

  • Eden, A., Kalantarov, V. K., Zelik, S. V., Global solvability and blow up for the convective Cahn-Hilliard equations with concave potentials, Journal of Mathematical Physics, 54 (2013) 041502. http://dx.doi.org/10.1063/1.4798786
  • Eden, A., Kalantarov, V. K., Zelik, S. V., Counterexamples to the regularity of Mane's Projections and Global Attractors”, Russian Mathematical Survey, 68:2 (2013) 199-226. http://iopscience.iop.org/0036-0279/68/2/199/
  • Rassoul-Agha, F., Seppäläinen, T., Yilmaz, A., Quenched free energy and large deviations for random walks in random potentials.  Comm. Pure Appl. Math. 66(2013), no. 2, 202–244. http://dx.doi.org/10.1002/cpa.2141 

  2012

  • Boysal, A., Vergne M., Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings', Annales de l'Institut Fourier, 62,no.2, 821-858, 2012
  • D’Alessandro, F., Intrigila, B., Varricchio, S., “Quasi-polynomials, linear Diophantine equations and semi-linear sets”, Theoretical Computer Science, 416, 1-16, 2012. http://dx.doi.org/10.1016/j.tcs.2011.10.014
  • Eden, Alp; Irzik, Gürol, German mathematicians in exile in Turkey: Richard von Mises, William Prager, Hilda Geiringer, and their impact on Turkish mathematics. Historia Math. 39 (2012), no. 4, 432–459.  http://dx.doi.org/10.1016/j.hm.2012.07.002

  2011

  • Goldston, D.A., Graham, S.W., Pintz, J., Yıldırım, C.Y., “Small gaps between almost primes, the parity problem and some conjectures of erdos on consecutive integers”, International Mathematics Research Notices, 7, 1439-1450, 2011. http://imrn.oxfordjournals.org/content/2011/7/1439.short 

  2010

  • Anand, A., Y. Boubendir, F. Ecevit and F. Reitich (2010). "Analysis of multiple scattering iterations for high-frequency scattering problems. II. The three-dimensional scalar case." Numer. Math. 114(3): 373--427 http://dx.doi.org/10.1007/s00211-009-0263-1.
  • Boysal, Arzu; Pauly, Christian, Strange duality for Verlinde spaces of exceptional groups at level one. Int. Math. Res. Not. IMRN 2010, no. 4, 595–618. http://dx.doi.org/10.1093/imrn/rnp151 

  2009

  • Boysal, A. and S. Kumar (2009). A conjectural presentation of fusion algebras. Algebraic analysis and around. Tokyo, Math. Soc. Japan. 54: 95--107. 
  • Çatal-Özer, A. and N. S. Değer (2009). "Beta, dipole and noncommutative deformations of -theory backgrounds with one or more parameters." Classical Quantum Gravity 26(24): 245015, 29 http://dx.doi.org/10.1088/0264-9381/26/24/245015
  • Ecevit, F. and F. Reitich (2009). "Analysis of multiple scattering iterations for high-frequency scattering problems. I. The two-dimensional case."Numer. Math. 114(2): 271--354 http://dx.doi.org/10.1007/s00211-009-0249-z
  • Eden, A., S. Erbay and I. Hacinliyan (2009). "Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrödinger equation."Chaos Solitons Fractals 41(2): 688--697 http://dx.doi.org/10.1016/j.chaos.2007.11.035
  • Eden, A., T. B. Gürel and E. Kuz (2009). "Focusing and defocusing cases of the purely elliptic generalized Davey-Stewartson system." IMA J. Appl. Math. 74(5): 710--725 http://dx.doi.org/10.1093/imamat/hxp010
  • Goldston, D. A., S. W. Graham, J. Pintz and C. Y. Yıldırım (2009). "Small gaps between products of two primes." Proc. Lond. Math. Soc. (3)98(3): 741--774 http://dx.doi.org/10.1112/plms/pdn046
  • Yıldırım, C. Y. (2009). The distribution of primes: conjectures vs. hitherto provables. Further progress in analysis, World Sci. Publ., Hackensack, NJ: 75--108 http://dx.doi.org/10.1142/9789812837332_0004 .         

  2008

  • Abadoğlu, E., E. Ortaçgil and F. Öztürk (2008). "Klein geometries, parabolic geometries and differential equations of finite type." J. Lie Theory18(1): 67--82. 
  • Kanuni, M. (2008). "Module properties of incidence rings." Houston J. Math. 34(2): 383--396. 

  2007

  • Değer, N. S. (2007). "A note on intersections of S-branes with -branes." Phys. Rev. D 75(12): 126002, 9. 
  • Garaev, M. Z. and C. Y. Yıldırım (2007). "On small distances between ordinates of zeros of  and ." Int. Math. Res. Not. IMRN(21): Art. ID rnm091, 14. 
  • Goldston, D. A., J. Pintz and C. Y. Yıldırım (2007). The path to recent progress on small gaps between primes. Analytic number theory. Providence, RI, Amer. Math. Soc. 7: 129--139. 
  • Goldston, D. A. and C. Y. Yıldırım (2007). "Higher correlations of divisor sums related to primes. II. Variations of the error term in the prime number theorem." Proc. Lond. Math. Soc. (3) 95(1): 199--247 http://dx.doi.org/10.1112/plms/pdm010
  • Goldston, D. A. and C. Y. Yıldırım (2007). "Higher correlations of divisor sums related to primes. III. Small gaps between primes." Proc. Lond. Math. Soc. (3) 95(3): 653--686 http://dx.doi.org/10.1112/plms/pdm021

  2006

  • Budak, T. and J. Pym (2006). "Local topological structure in the LUC-compactification of a locally compact group and its relationship with Veech's theorem." Semigroup Forum 73(2): 159--174. http://dx.doi.org/10.1007/s00233-006-0623-4.  
  • Eden, A. and V. K. Kalantarov (2006). On the global behavior of solutions to nonlinear inverse source problems. Differential \& difference equations and applications, Hindawi Publ. Corp., New York: 391--402. 
  • Goldston, D. A., J. Pintz and C. Y. Yıldırım (2006). "Primes in tuples. III. On the difference ." Funct. Approx. Comment. Math. 35: 79--89. 

  2005

  • Eden, A. and V. K. Kalantarov (2005). "On global behavior of solutions to an inverse problem for nonlinear parabolic equations." J. Math. Anal. Appl. 307(1): 120--133 http://dx.doi.org/10.1016/j.jmaa.2005.01.007

  2004

  • Değer, N. S. and Ö. Sarıoğlu (2004). "Supersymmetric strings and waves in ,  matter coupled gauged supergravities." J. High Energy Phys.(12): 039, 17 pp. (electronic) (2005) http://dx.doi.org/10.1088/1126-6708/2004/12/039
  • Eden, A. and V. K. Kalantarov (2004). "On global behavior of solutions to an inverse problem for semi-linear hyperbolic equations." Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 318(Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 36 [35]): 120--134, 310 http://dx.doi.org/10.1007/s10958-006-0195-6 .  

  2003

  • Goldston, D. A. and C. Y. Yıldırım (2003). "Higher correlations of divisor sums related to primes. I. Triple correlations."Integers 3: A5, 66 pp.

  2002

  • Eden, A. (2002). Finite dimensional dynamics on attractors. Mathematics \& mathematics education (Bethlehem, 2000), World Sci. Publ., River Edge, NJ: 90--97. 

  2001

  • Goldston, D. A. and C. Y. Yıldırım (2001). "On the second moment for primes in an arithmetic progression." Acta Arith.100(1): 85--104 http://dx.doi.org/10.4064/aa100-1-8

  2000

  • Eden, A. (2000). "A remark on the asymptotic properties of positive homogeneous maps on homogeneous lattices." Turkish J. Math. 24(3): 277--281. 
  • Eden, A. (2000). "A remark on the asymptotic properties of positive homogeneous maps on homogeneous lattices." Turkish J. Math. 24(3): 277--281. 
  • Fordi, A. P. and T. B. Gürel (2000). "A new construction of recursion operators for systems of hydrodynamic type." Teoret. Mat. Fiz. 122(1): 37--49 http://dx.doi.org/10.1007/BF02551167
  • Tanbay, B. (2000). "A survey of the Schur property." Rev. Roumaine Math. Pures Appl. 45(4): 723--735 (2001)
  • Yıldırım, C. Y. (2000). "Zeros of & in ." Turkish J. Math. 24(1): 89--108.