Professor and Senate
Member

TOBB University of Economics and Technology

Department of Mathematics

Söğütözü No:43

06560 Ankara Turkey

Email: ekilic [at] etu.edu.tr

Office: 009 0312 292 43 30

Web: http://ekilic.etu.edu.tr/

**EDUCATION**

Ph.D.
Department of Mathematic, Gazi University, 2003-2006

M.A. Department of
Mathematics, Gazi University, 2001-2003

B.Sc. Department of
Mathematics, Ankara University, 1995-1999

**BASIC RESEARCH AREAS**

Discrete Mathematics, Matrix Theory, Number Theory

**APPOINTMENTS**

2014 June --, Professor, TOBB University of Economics and Technology,
Ankara Turkey

2009 January- 2014 June, Associate Professor, TOBB University of
Economics and Technology, Ankara Turkey

2009 August-2010 February, Military Service, Hakkari
Mountain and Commando Brigade, Otluca, Hakkari, Turkey

2007--2008, II. Semester, Visiting Scholar, Massachusetts Institute of
Technology, Cambridge, US

2007 July--2009 January, Assistant Professor, TOBB University of
Economics and Technology, Ankara Turkey

2006 August--2007 July, Researcher and lecturer, TOBB University of
Economics and Technology, Ankara Turkey

2002 February--2006 August, Graduate Teaching Assistant, Gazi University, Ankara Turkey

**SCIENTIFIC JOURNALS,
EDITORIAL BOARD**

Turkish Journal of Mathematics (Editor, 2015- Present )

BULLETIN of the Malaysian Mathematical Sciences Society (BMMS) (Editor,
2015-Present)

ISRN Combinatorics (Editor, 2012-Present)

International Journal of Physics and Mathematical Sciences (Editor,
2011-Present)

European Journal of Pure and Applied Mathematics (Editor, 2009-Present)

**SCIENTIFIC MEMBERSHIPS**

Ankara Mathematics Days 2017, Scientific Committee
Membership, TOBB ETU, Ankara 2017

Lebanese International Conference on Mathematics and
Applications (LICMA’17), Scientific Committee Membership, Beirut, 2017

Lebanese International Conference on Mathematics and
Applications (LICMA’15), Scientific Committee Membership, Beirut, 2015

XII. Mathematics Symposiums, Scientific and Program Committee
Membership, Hacettepe University, Ankara, 2013

XI. Mathematics Symposiums, Scientific Committee Membership,
Ondokuz Mayıs University, Samsun, 2012

X. Mathematics Symposiums, Scientific Committee Membership,
Işık University, İstanbul, 2011

Ankara Mathematics Days 2010, Scientific Committee
Membership, TOBB ETU, Ankara 2010

American Mathematical Society

**PUBLICATIONS IN REFEREED
JOURNALS**

1. D. Taşcı and E. Kılıç, On the order-k generalized Lucas
numbers, Applied Mathematics Computation 155 (3) (2004), 637–641.

2. E. Kılıç and D. Taşcı, On the generalized order-k
Fibonacci and Lucas numbers, Rocky Mountain Journal of Mathematics 36 (6)
(2006), 1915–1926.

3. E. Kılıç and D. Taşcı, The linear algebra of the Pell
matrix, Bulletin of the Mexican Mathematical Society 2 (11) (2005), 163–174.

4. E. Kılıç, B. Altunkaynak and D. Taşcı, On the computing of
the generalized order-k Pell numbers in log time, Applied Mathematics
Computation 181 (1) (2006), 511–515.

5. E. Kılıç and D. Taşcı, The generalized Binet formula,
representation and sums of the generalized order-k Pell numbers, Taiwanese J.
Math. 10 (6) (2006), 1661–1670.

6. E. Kılıç and D. Taşcı, Factorizations and representations
of the backward second order linear recurrences, J. Comput. Appl. Math. 201 (1)
(2007), 182–197.

7. E. Kılıç, The generalized order-k Fibonacci-Pell sequence
by matrix methods, J. Comput. Appl. Math. 209 (2) (2007), 133–145.

8. E. Kılıç, Sums of generalized Fibonacci numbers by matrix
methods, Ars Combinatoria, 84 (2007), 23–31.

9. E. Kılıç and D. Taşcı, On the permanents of some
tridiagonal matrices with applications to the Fibonacci and Lucas numbers,
Rocky Mountain Journal of Mathematics 37 (6) (2007), 203–219.

10. E. Kılıç and D. Taşcı, On sums of second order linear
recurrences by hessenberg matrices, Rocky Mountain Journal of Mathematics 38
(2) (2008), 531–544.

11. E. Kılıç, Sums of the squares of terms of sequence {un},
Proc. Indian Acad. Sci. 118 (1) (2008), 27–41.

12. E. Kılıç, The Binet formula, sum and representations of
generalized Fibonacci p-numbers, European Journal of Combinatorics 29 (3)
(2008), 701–711.

13. E. Kılıç, Explicit formula for the inverse of a
tridiagonal matrix by backward continued fractions, Applied Mathematics
Computation 197 (1) (2008), 345–357.

14. E. Kılıç, Formulas for sums of generalized order-k
Fibonacci type, Ars Combinatoria 86 (2008), 395–402.

15. E. Kılıç, Tribonacci sequences with certain indices and
their sums, Ars Combinatoria 86 (2008), 13–22.

16. E. Kılıç and M. El-Mikkawy, A computational algorithm for
special nth order pentadiagonal Toeplitz determinants, Applied Mathematics
Computation 199 (2) (2008), 820–822.

17. E. Kılıç, On a constant-diagonals matrix, Applied
Mathematics Computation
204 (1) (2008), 184–190.

18. E. Kılıç and D. Tasci, Generalized order-k Fibonacci and
Lucas functions, Rocky Mountain Journal of Mathematics 38 (6) (2008),
1991–2007.

19. E. Kılıç and N. Irmak, Reciprocal sums of l-th power of
generalized binary sequences with indices, Ars Combintoria 88 (2008), 407–413.

20. E. Kılıç, On the usual Fibonacci and generalized order-k
Pell numbers, Ars Combinatoria 88 (2008), 33–45.

21. E. Kılıç, G. N. Stanica and P. Stanica, Spectral
properties of some combinatorial matrices, Congressus Numerantium Vol. 201,
Proc. International Conf. Fibonacci Numbers & Applications (2010), 223–236.

22. E. Kılıç and D. Tasci, On families of bipartite graphs
associated with sums of Fibonacci and Lucas numbers, Ars Combinatoria 89
(2008), 31–40.

23. E. Kılıç and P. Stanica, Generating matrices for weighted
sums of a second order linear recurrence, Journal of Integer Sequences 12
(2009) Article 09.2.7.

24. E. Kılıç, On the second order linear recurrences by
tridiagonal matrices, Ars Combinatoria 91 (2009), 11–18.

25. E. Kılıç, The generalized Pell (p,i)- numbers and their
Binet formulas, combinatorial representations, sums, Chaos, Solitons and
Fractals 40 (2009), 2047–2063.

26. E. Kılıç and A.P. Stakhov, On the Fibonacci and Lucas
p-numbers, their sums, families of bipartite graphs and permanents of certain
matrices, Chaos, Solitons and Fractals 40 (2009), 2210–2221.

27. E. Kılıç, N. Ömür, G. Tatar and Y. Ulutaş, Factorizations
of the Pascal matrix via generalized second order recurrent matrix, Hacettepe
Journal of Mathematics and Statistics 38 (3) (2009), 305–316.

28. E. Kılıç and D. Taşcı, On the second order linear
recurrence satisfied by the permanent of generalized doubly stochastic
matrices, Ars Combinatoria 93 (2009), 1–14.

29. E. Kılıç, N. Ömür and Y. Ulutaş, Matrix representations
for the second order recurrence {Ukn}, Ars Combinotaria 93 (2009), 181–190.

30. E. Kılıç, More general identities involving the terms of
{Wn(a,b;p,q)}, Ars Combinatoria 93 (2009), 459–461.

31. E. Kılıç and P. Stanica, Factorizations and
representations of second order linear recurrences with indices in arithmetic
progressions, Bulletin of the Mexican Mathematical Society 15 (1) (2009),
23–36.

32. E. Kılıç, The generalized Fibonomial matrix, European
Journal of Combinatorics 31 (2010), 193–209.

33. E. Kılıç and D. Taşcı, On the generalized Fibonacci and
Pell sequences by hessenberg matrices, Ars Combinatoria 94 (2010), 161–174.

34. E. Kılıç and D. Taşcı, On families of bipartite graphs
associated with sums of generalized order-k Fibonacci and Lucas numbers, Ars
Combinatoria 94 (2010), 13–23.

35. E. Kılıç and N. Ömür, Conics characterizing the
generalized Fibonacci and Lucas sequences with indices in arithmetic
progressions, Ars Combinatoria 94 (2010), 459–464.

36. E. Kılıç and H. Prodinger, A generalized Filbert matrix,
The Fibonacci Quarterly, 48 (1) (2010), 29–33.

37. E. Kılıç, D. Taşcı and P. Haukkanen, On the generalized
Lucas sequences by hessenberg matrices, Ars Combinatoria 95 (2010), 383–395.

38. E. Kılıç and D. Taşcı, Negatively subscripted Fibonacci
and Lucas numbers and their complex factorizations, Ars Combinatoria 96 (2010),
275–288.

39. E. Kılıç and E. J. Ionascu, Certain binomial sums with
recursive coefficients, The Fibonacci Quarterly 48 (2) (2010), 161–167.

40. E. Kılıç, İ. Akkuş and H. Prodinger, A proof of a
conjecture of Melham, The Fibonacci Quarterly 48 (3) (2010), 241–248.

41. E. Kılıç, Second order linear recursions whose subscripts
are a power, Miskolc Mathematical Notes 11 (2) (2010), 151–161.

42. E. Kılıç and P. Stanica, The Lehmer matrix and its
recursive analogue, Journal of Combinatorial Mathematics and Combinatorial
Computing 74 (2010), 193–207.

43. E. Kılıç, On binomial sums for the general second order
linear recurrence, Integers: The Electronic Journal of Combinatorial Number
Theory #A57, 10 (2010), 801–806.

44. E. Kılıç and P. Stanica, A matrix approach for general
higher order linear recurrence, Bulletin of the Malaysian Mathematical Sciences
Society (2) 34 (1) (2011), 51–67.

45. E. Kılıç and N. Irmak, Binomial identities involving the
generalized Fibonacci type polynomials, Ars Combinatoria 98 (2011), 129–134.

46. E. Kılıç, N. Ömür and Y. Ulutaş, Binomial sums whose
coefficients are products of terms of binary sequences, Utilitas Mathematica 84
(2011), 45–52.

47. E. Kılıç, Y. Ulutaş and N. Ömür, Sums of products of the
terms of generalized Lucas sequence {Vkn}, Hacettepe Journal of Mathematics and
Statistics 40 (2) (2011), 147–161.

48. E. Kılıç and P. Stanica, Factorizations and
representations of binary polynomial recurrences by matrix methods, Rocky
Mountain Journal of Mathematics 41 (4) (2011), 1247–1264.

49. E. Kılıç, Y. Ulutaş and N. Ömür, A formula for the
generating functions of powers of Horadam's sequence with additional 2
parameters, Journal of Integer Sequences 14 (2011) Article 11.5.6.

50. E. Kılıç, N. Ömür and Y. Ulutaş, Alternating sums of the
powers of Fibonacci and Lucas numbers, Miskolc Mathematical Notes 12 (1)
(2011), 87–103.

51. E. Kılıç and P. Stanica, Generating matrices of C-nomial
coefficients and their spectra, accepted in Proc. International Conf. Fibonacci
Numbers & Applic. 2010.

52. E. Kılıç, N. Ömür and Y. Ulutaş, Some finite sums
involving generalized Fibonacci and Lucas numbers, Discrete Dynamics in Nature
and Society (2011), Article ID 284261.

53. E. Kılıç, H. Prodinger, I. Akkuş and H. Ohtsuka, Formulas
for Fibonomial sums with generalized Fibonacci and Lucas coefficients, The
Fibonacci Quarterly 49 (4) (2011), 320–329.

54. E. Kılıç, İ. Akkuş and H. Ohtsuka, Some generalized
Fibonomial sums related with the Gaussian q-binomial sums, Bulletin
Mathématique de la Société des Sciences Mathématiques de Roumanie 55 (103) (1)
(2012), 51–61.

55. E. Kılıç, Y. Ulutaş and N. Ömür, Formulas for weighted
binomial sums with the powers of terms of binary recurrences, Miskolc
Mathematical Notes 13 (1) (2012), 53–65.

56. E. Kılıç, A matrix approach for generalizing two curious
divisibility properties, Miskolc Mathematical Notes 13 (2) (2012), 389–396.

57. E. Kılıç, N. Ömür and G. Tatar, Riordan group approaches
in matrix factorizations, Bulletin of the Iranian Mathematical Society 38 (2)
(2012), 491–506.

58. E. Kılıç and H. Prodinger, The q-Pilbert matrix,
International Journal Computers Mathematics 89 (10) (2012), 1370–1377.

59. E. Kılıç and P. Stanica, General approach in computing
sums of products of binary sequences, Hacettepe Journal of Mathematics and
Statistics 42 (1) (2013), 1–7.

60. E. Kılıç and P. Stanica, The inverse of banded matrices,
Journal of Computational and Applied Mathematics 237 (1) (2013), 126–135.

61. E. Kılıç and T. Arıkan, More on the infinite sum of
reciprocal usual Fibonacci, Pell and higher order recurrences, Applied
Mathematics Computation 219 (14) 2013, 7783–7788.

62. E. Kilic and N. Ömür, Some weighted sums of products of
Lucas sequences, Integers: The Electronic Journal of Combinatorial Number
Theory 13 (2013), #A27, 1–9.

63. E. Kılıç and H. Prodinger, Variants of the Filbert
matrix, The Fibonacci Quarterly 51 (2) (2013), 153–162.

64. E. Kılıç and H. Prodinger, Some Double binomial sums
related to Fibonacci, Pell and generalized order-k Fibonacci numbers, Rocky
Mountain Journal of Mathematics 43 (3) (2013), 975–987.

65. E. Kılıç, Sylvester-tridiagonal matrix with alternating
main diagonal entries and its spectra, International Journal Nonlinear Sciences
and Numerical Simulation 14 (5) (2013), 261–266.

66. E. Kılıç and H. Prodinger, Asymmetric generalizations of
the Filbert matrix and variants, Publications de'l Institut Mathematique 95
(109) (2014), 267–280.

67. E. Kılıç and H. Prodinger, A note on the conjecture of
Ramirez and Sirvent, Journal of Integer Sequences 2014, Article 14.5.8.

68. E. Kılıç and Aynur Yalçıner, New sums identities in
weighted Catalan triangle with the powers of generalized Fibonacci and Lucas
numbers, Ars Combinatoria 115 (2014), 391–400.

69. E. Kılıç, İ. Akkuş and H. Prodinger, A Generalization of
a conjecture of Melham, Utilitas Mathematica 93 (2014), 225–232.

70. E. Kılıç and H. Prodinger, The generalized q-Pilbert
matrix, Mathematica Slovaca 64 (5) (2014), 1–10.

71. E. Kılıç, A proof of a conjecture of Marques and
Trojovsky, Miskolc Mathematical Notes 2 (2) (2014), 545–557.

72. E. Kılıç, Y. Ulutaş, I. Akkuş and N. Ömür, Generalized
binary recurrent quasi-cyclic matrices, Annales Mathematicae et Informaticae 43
(2014), 103–112.

73. E. Kılıç and H. Prodinger, Formulae related to the q-Dixon formula with
applications to
Fibonomial sums, Periodica Mathematica Hungarica 70 (2015), 216–226.

74. E. Kılıç, Some subsequences of the generalized Fibonacci
and Lucas numbers, Utilitas Mathematica 97 (2015), 233-239.

75. E. Kılıç, I. Akkuş,
N. Ömür and Y. Ulutaş, Various sums including the generalized Fibonacci
and Lucas numbers, Palestine Journal of Mathematics 4 (2) (2015) , 319–326.

76. E. Kılıç and H. Prodinger, Sums of products of
generalized Fibonacci and Lucas numbers, Acta Mathematica Hungarica 145 (1)
(2015), 17–25.

77. E. Kılıç and H. Prodinger, Closed form evaluation of sums
containing squares of Fibonomial coefficients, Mathematica Slovaca 66 (3)
(2016), 757–765.

78. E. Kılıç and Hacene Belbachir, Generalized double
binomial sums families by generating functions, acceped in Utilitas
Mathematica.

79. E. Kılıç, I. Akkuş,
N. Ömür and Y. Ulutaş, Formulas for binomial sums including powers of
Fibonacci and Lucas numbers, U.P.B. Sci. Bull. Series A 77 (4) (2015), 69–78.

80. E. Kılıç, İ. Akkuş, N. Ömür, Y. Ulutaş, A curious
matrix-sum identity and certain finite sums identities, Asian-European Journal
of Mathematics 8 (3) (2015), #1550047.

81. E. Kılıç and H. Prodinger, Evaluation of Sums involving
Gaussian q-Binomial Coefficients with rational weight functions, International
Journal of Number Theory 12 (2) (2016), 495–504.

82. Emrah Kılıç, İlker Akkuş and Gonca Kızılaslan, A variant
of the reciprocal super Catalan matrix with two additional parameters, Special
Matrices 3 (2015); 163–168.

83. E. Kılıç, I. Akkus, N. Ömür, Y. Ulutaş, Generalized
binomial convolution of the mth powers of the consecutive integers with the general Fibonacci sequence, Demonstratio Mathematica 49 (4)
(2016), 379–385.

84. E. Kılıç and T. Arıkan, Evaluation of spectrum of
2-periodic tridiagonal-Sylvester matrix, Turkish Journal of Mathematics 40
(2016), 80–89.

85. E. Kılıç and H. Prodinger, The generalized Lilbert
matrix, Periodica Mathematica Hungarica 73 (1) (2016), 62–72.

86. E. Kılıç and T. Arıkan, The generalized reciprocal super
Catalan matrix, Turkish Journal of Mathematics 40 (2016), 960-972.

87. E. Kılıç, Some classes of alternating weighted binomial
sums, Annals of the Alexandru Ioan Cuza University – Mathematics 3(2) (2016),
835—843.

88. E. Kılıç and T. Arıkan, Ruehr's identities with two
additional parameters, Integers, 16 (2016), #A30.

89. E. Kılıç and H. Prodinger, Some Gaussian binomial sum
formulæ with applications, Indian J. Pure Appl. Math. 47 (3) (2016), 399–407.

90. E. Kılıç, Neşe Ömür, Sibel Koparal, Yücel Ulutaş, Two
variants of the reciprocal Super Catalan matrix, Kyungpook Mathematical Journal 56 (2) (2016),
409–418.

91. E. Kılıç and H. Prodinger, Identities with squares of binomial
coefficients: an elementary and explicit approach, Publications de l'Institut
Mathematique, 99 (113) (2016), 243–248.

92. E. Kılıç and H. Prodinger, Closed form evaluation of restricted sums
containing squares of Fibonomial coefficients, U.P.B. Sci. Bull., Series A 78(4) (2016), 57—66.

93. E. Kılıç and A. Yalçıner, On sums of squares of
Fibonomial coefficients by q-calculus, Asian-European Journal of Mathematics 9
(3) (2016), 14 pp.

94. N. Irmak and E. Kılıç, Decompositions of the Cauchy and
Ferrers-Jackson polynomials, Mathematical Communications, 21 (2016), 163–170.

95. E. Kılıç, N. Ömür and S. Koparal, On alternating weighted
binomial sums with falling factorials, Bulletin of Mathematical Analysis and
Applications, 9(1) (2017), 58–64.

96. E. Kılıç and H. Prodinger, The matrix of super Patalan
numbers and its factorizations, Filomat 31(8) (2017), 2337–2344.

97. E. Kılıç, Evaluation of sums containing triple aerated
generalized Fibonomial coefficients, Mathematica Slovaca 67(2) (2017), 355–370.

98. E. Kılıç and H. Prodinger, Closed form evaluation of
Melham's reciprocal sums, Miskolc Mathematical Notes 18 (1) (2017), 251–264.

99. E. Kılıç and T. Arıkan, A class of non-symmetric band
determinants with the Gaussian *q*-binomial
coefficients, Quaestiones Mathematicae Journal 40(5) 2017, 645–660.

100. E. Kılıç and H. Prodinger, Evaluation of sums involving
products of Gaussian q-binomial coefficients with applications to Fibonomial
sums, Turkish Journal of Mathematics 41 (2017), 707—716.

101. E. Kılıç and I.
Akkus, On usual Fibonomial sums identities with special sign functions:
Analytically *q*-calculus approach,
accepted in Mathematica Slovaca.

102. E. Kılıç and T. Arıkan, Evaluation of Hessenberg
determinants via generating function approach, Filomat 31(15) (2017),
4945–4962.

103. E. Kılıç and T. Arıkan, Double binomial sums and double
sums related with certain linear recurrences of various order, accepted in
Chiang Mai Journal of Science.

104. E. Kılıç, N. Omur and S. Koparal, Formulae for various
weighted binomial sums with the falling factorials, accepted in Ars
Combinatoria.

105. E. Kılıç , T. Mansour and T.
Arıkan, A wilf class composed of 19 symmetry classes of quadruples of 4-letter
patterns, Notes on Number Theory and Discrete Mathematics 23 (3) (2017), 79–99.

106. E. Kılıç, Evaluation of various partial sums of Gaussian
q-binomial sums, accepted in Arabian Journal of Mathematics.

107. E. Kılıç, Three
binomial sums weighted by falling and rising factorials, accepted in Turkish
Journal of Mathematics.

108. T. Hopkins, E. Kılıç, An analytical approach: Explicit
inverses of periodic tridiagonal matrices, accepted in Journal of Computational
and Applied Mathematics.

109. E. Kılıç and T. Arıkan, A nonlinear generalization of
the Filbert matrix and its Lucas analogue, accepted in Linear and Multilinear Algebra.

110. E. Kılıç and F. Taşdemir, On binomial double sums with
Fibonacci and Lucas numbers-I, accepted in Ars Combinatoria.

111. E. Kılıç and F. Taşdemir, On binomial double sums with
Fibonacci and Lucas numbers-II, accepted in Ars Combinatoria.

112. E. Kılıç, Sibel Koparal and Neşe Ömür, New asymmetric
generalizations of the Filbert and Lilbert matrices, accepted in Periodica
Mathematica Hungarica

113. Wenchang Chu and E. Kılıç, Quadratic sums of Gaussian *q*-binomial coefficients and Fibonomial
coefficients, accepted in The Ramanujan Journal

114. E. Kılıç and H. Prodinger, A wide class of Combinatorial
matrices related with Reciprocal Pascal and Super Catalan matrices, accepted in
Contributions to Discrete Mathematics

115. E. Kılıç and H. Prodinger, Evaluation of sums involving
products of Gaussian *q*-binomial coefficients
with applications, accepted in Mathematica Slovaca

**TOP ONE AND OTHER ARTICLES
FROM TOP 25 HOTTEST ARTİCLES FROM SCIENCE DIRECT**

Emrah Kılıç, The Binet formula, sums and representations of
generalized Fibonacci *p*-numbers,
European Journal of Combinatorics, 29 (3) (2008) 701-711.

Emrah Kılıç, The generalized Fibonomial matrix, European
Journal of Combinatorics, 31 (2010) 193-209.

E. Kılıç and P. Stanica, The inverse of banded matrices,
Journal of Computational and Applied Mathematics, 237 ( 1) ( 2013), 126-135.

**SYMPOSIUM and TALKS**

Evaluation of sums involving Gaussian q-binomial coefficients
with rational weight functions, Lebanese international conference on
mathematics and applications, LICMA 15, May 2015, Lebanese university, Lebanon.
(Invited Speaker)

Analysis methods in number theory problems, MATDER, 14.
Mathematics Symposium, Niğde University, May 2015 (Invited Speaker)

Generalized binomial coefficients and their various sums by
q-calculus, Hacettepe University, June 2013 (Invited)

Higher order linear recurrences by matrix methods, Bilkent
University, Ankara, May 2013. (Invited)

An Another Symmetric Fibonacci Matrix-II, with G. Özdemir,
RAMA8, Algeria, 2012.

A Symmetric Fibonacci Matrix-I, with L. Çetinkaya, RAMA8,
Algeria, 2012.

Some new kinds of generalized Fibonomial sums, RAMA8,
Algeria, 2012. (Invited speaker)

Generalizing two curious divisibility properties, 15th Inter.
Conference on Fibonacci Numbers and Their Appl.,
Eger-Hungary, 2012.

Some further results on the sums of reciprocals of terms of a
order-k recurring sequence, with T. Arıkan, 15th Inter. Conference on Fibonacci
Numbers and Their Appl., Eger-Hungary, 2012.

Some Gaussian q-Binomial Sums and its Applications, with I.
Akkus, ICAAA2011, İstanbul 2011

Spectrum of a tridiagonal matrix and factorization of a
period second order linear recurrence system, DIMACOS11, Morocco 2011

Generalized Binary Recurrent Quasi-Cyclic Matrices, presented
by Y. T. Ulutaş, DIMACOS11, Morocco 2011

Finite sums involving generalized Fibonacci and Lucas
numbers, presented by N. Omur, DIMACOS11, Morocco 2011

Generating matrices of C-nomial coefficients and their
spectra, presented by P. Stanica, 14th Inter. Conf. on
Fibonacci Numbers and Their Appl, Mexico, 2010

On sums of the product of terms of the generalized Lucas
sequences, Ankara Mathematics Days, Ankara 2010

Fibonacci numbers and generating matrices, TOBB ETU, 2009

Banded matrices and their inverses, Ankara University, 2009
(Invited)

Explicit formula for the inverse of a tridigonal matrix by
backward continued fraction, TASSA, Harvard Univ. 2008

Spectral properties of some combinatorial matrices, with P.
Stanica and G. Stanica, 13th Inter. Conf. on Fibonacci
Numbers and Their Appl, Mexico, 2010

Algebra Days VII, Antalya 2005

Pell Matrices and Matrix Representation of Pell Numbers,
XVII. Ulusal Mat. Sempozyumu, Bolu 2004

On the order-k generalized Lucas numbers, Algebra Days V,
Antalya 2003

**SCIENTIFIC MEMBERSHIPS**

American Mathematical Society

XII. Mathematics Symposiums, Scientific and Program Committee
Membership, Hacettepe University, Ankara, 2013

XI. Mathematics Symposiums, Scientific Committee Membership,
Ondokuz Mayıs University, Samsun, 2012

X. Mathematics Symposiums, Scientific Committee Membership,
Işık University, İstanbul, 2011

V. Ankara Mathematics Days, Scientific Committee Membership,
TOBB ETU, Ankara 2010

**AWARDS**

TOBB University of Economics and Technology, Tubitak, Gazi
University