# Seminars

Weekly seminars are held every Wednesday at 12.30 p.m. in room number 29 at the Department of Mathematics, Quaid-e-Azam University, Islamabad. The idea of holding these seminars was given by Professor Qaiser Mushtaq in order to provide a platform for mutual interaction on a wide range of topics. They cover not only mathematics, but science, and other topics of related fields/aspects of education and related research.

The seminars initially began in the year 2005 under the auspices of Professor Qaiser Mushtaq. The charge of these seminars were subsequently taken over by Dr. Shehla Asif in 2006, and then by Ayesha Rafiq in 2009 . More than 200 seminars have been conducted successfully to date.

The success is further promulgated by the fact that students, scholars and educationists may forward their opinions, ideas and suggestions to the in charge of seminars.

Those interested in this field are cordially invited to participate and may contact the in charge via email at ayesha_rafiq@live.com. The participants will be welcomed on the basis of give/gain knowledge in this education arena.

#### Algebra seminar is a weekly activity which is usually held on Tuesdays at 1:30 p.m. in Professor Qaiser Mushtaq’s office. It is meant to provide a forum to scholars for interaction on mathematical topics of mutual interest.

S/No |
Name |
Title |
Dated |

1. | Shehla Asif | Finite Permutation Representations of a subgroup of Picard Group | 10-02-2007 |

2. | Madad Khan | On Embedding of an AG^{**}-groupoid |
17-02-2007 |

3. | Madad Khan | An Introduction to LeTeX | 24-02-2007 |

4. | M. Shamir Khan | Mathematical Contributions of S. Chowla- I | 10-03-2007 |

5. | M. Shamir Khan | Mathematical Contributions of S. Chowla-II | 17-03-2007 |

6. | Saima Anis | Action of Picard Group on Q(√3,i) | 24-03-2007 |

7. | Professor Qaiser Mushtaq | Mathematical Symbols and their effects in Mathematics | 07-04-2007 |

8. | Nasir Siddiqui | Coset Diagrams | 14-04-2007 |

9. | Nasir Siddiqui | Action of G^{2}_{2 }on Projective Lines over Finite Fields |
21-04-2007 |

10. | M. Shamir Khan | Development of Mathematics in the First Ten Years of Pakistan | 05-05-2007 |

11. | Saima Anis | Ambiguous Numbers in Q(i,(√3) | 19-05-2007 |

12. | Professor Qaiser Mushtaq | Let us Write it Right | 26-05-2007 |

13. | Dr M. Aslam | A Survey of the Coset Diagrams | 02-06-2007 |

14. | Iftikhar Ali | How to make Diagrams in Flash | 09-06-2007 |

15. | Professor Qaiser Mushtaq | Cryptography | 16-06-2007 |

16. | Professor Qaiser Mushtaq | Lecturing or Teaching? | 23-06-2007 |

17. | M. Shamir Khan | Contributions of a few Mathematicians in the Development of Mathematics in Lahore | 30-06-2007 |

18. | Nasir Siddiqui | Action of G^{2}_{2 }on PL(F_{p}) |
08-09-2007 |

19. | Nasir Siddiqui | Permutation representation of coset diagram for the action of G^{2}_{2 }on PL(F_{p}) |
15-09-2007 |

20. | M. Shamir Khan | First Decade of Mathematics in Punjab | 22-09-2007 |

21. | M. Sarwar Saeed | Introduction of One-relator Surface Groups | 29-09-2007 |

22. | Professor Qaiser Mushtaq | Software for the Coset Diagrams | 03-10-2007 |

23. | Professor Qaiser Mushtaq | Non-mathematical Interpretations in Mathematics | 10-11-2007 |

24. | Naqeeb-ur- Rehman | Three-relator Quotients of PSL(2,Z) |
17-11-2007 |

25. | Waqar Hussain | Polynomial based Digital Computations in Galois Fields | 24-11-2007 |

26. | Nomana Rafee | Finitely Generated Triangle Group | 01-12-2007 |

27. | Professor Qaiser Mushtaq | What Mathematics is all About | 08-12-2007 |

28. | Shaista Batool | Finite Generalized Triangle Groups | 15-12-2007 |

29. | Naqeeb-ur- Rehman | Modular Group acting on Real Quadratic Fields | 05-01-2008 |

30. | Dr Munir Ahmed | Introduction to Hopf Algebra | 26-01-2008 |

31. | M. Sarwar Saeed | Introduction to Bass-Serre Theory-I | 02-02-2008 |

32. | M. Sarwar Saeed | Introduction to Bass-Serre Theory-II | 09-02-2008 |

33. | Nasir Siddiqui | Homomorphic Images of a Subgroup of Aut(Г_{3}) |
16-02-2008 |

34. | Professor Qaiser Mushtaq | Corruption in Education | 23-02-2008 |

35. | Rehan Ahmed | Using Schreier Elements to Compute the Order of a Group | 01-03-2008 |

36. | Saima Anis | Ambiguous Numbers in Picard Group Space-Q(i,√3) | 08-03-2008 |

37. | M. Sarwar Saeed | Documents Preparation Using LaTeX | 15-03-2008 |

38. | Fiaz Amber | Fragments for the Coset Diagrams for ∆(2,3,12) | 22-03-2008 |

39. | Abid Ali | Pell Numbers, Pell-Lucas Number & Modular Group | 29-03-2008 |

40. | Professor Qaiser Mushtaq | Pernicious Trends in Mathematics in Pakistan | 12-03-2008 |

41. | Shehla Asif | Action of G_{1} on PL(F_{5}^{n}) |
19-04-2008 |

42. | Nasir Siddiqui | Parameterization of Actions of the Automorphism Subgroup on a Cubic Tree | 26-04-2008 |

43. | Nasir Saddiqui | Some more Results on Parameterization of Actions of the Automorphism Subgroup on a Cubic Tree | 03-05-2008 |

44. | Dr M Aslam | On Power Subgroups of Hecke Groups | 10-05-2008 |

45. | Professor Qaiser Mushtaq | Why We Do Mathematics | 17-05-2008 |

46. | Shehla Asif | A 2-generator and 5-relator Presentation of a Subgroup of a Picard Group | 24-05-2008 |

47. | Professor Qaiser Mushtaq | Trends in Mathematics Research in Pakistan | 31-05-2008 |

48. | Sarwar Saeed | Limit Groups | 07-06-2008 |

49. | Professor Shamir Khan | State of Mathematics in Punjab During Second Decade | 21-06-2008 |

50. | Ayesha Rafiq | The Determinant of the Adjacency Matrix of a Graph | 13-09-2008 |

51. | Waqar Ahmad Khan | LA-Groups as Quotients of Left Inverse Quasigroups | 20-09-2008 |

52. | Sadaf Shafqat | Tessellations with the Modular Group from Dynamics | 27-09-2008 |

53. | M. Nadeen Awan | Pell Numbers, Pell-Lucas Numbers and the Modular Group | 11-10-2008 |

54. | Professor Qaiser Mushtaq | The Future of Mathematics in Pakistan | 18-10-2008 |

55. | Itrat Quarnain | Genus of certain Triangle Groups | 25-10-2008 |

56. | Kamran Shafique | Coset Diagrams for Hurwitz Groups | 01-11-2008 |

57. | Abdul Razzak | On Certain Orbits in Imaginary Quadratic Field under some Heche Group | 15-11-2008 |

58. | Azeem Shahzad | Hecke Group √2 and the Imaginary Quadratic Field | 22-11-2008 |

59. | Saima Anis | Tessellations of the Picard Group | 29-11-2008 |

60. | Nighat Mumtaz | Haradam Generalized Fibbonacci Numbers and the Modular Group | 06-12-2008 |

61. | Abdul Raheem | Symmetrical Patterns from Dynamics | 20-12-2008 |

62. | Professor Qaiser Mushtaq | Ethics and PhD Programme in Pakistan | 03-01-2009 |

63. | Ayesha Rafiq | Graphs through the Adjacency matrices for the Modular Group | 10-01-2009 |

64. | Sadaf Shafqat | Infinite Coset Diagrams for PSL(2,Z) | 14-02-2009 |

65. | Itrat Quarnain | Genuses for Coxeter Group G^{5,5,5} |
21-02-2009 |

66. | Professor Qaiser Mushtaq | Propaganda in Mathematics | 07-03-2009 |

67. | Professor Qaiser Mushtaq | Classification in Mathematics | 21-03-2009 |

68. | Abdul Raheem | Wallpaper Groups | 04-04-2009 |

69. | Nighat Mumtaz | Homomorphic Images of Commutators of the Modular Group | 11-04-2009 |

70. | Muhammad Nadeem | Pell Numbers and the Hecke Groups | 18-04-2009 |

71. | Saddiqa Mazhar | Sporadic Group | 25-04-2009 |

72. | Shazadi Salma Kanwal | Fuchsian Group | 02-05-2009 |

73. | Tariq Nawaz | Closed Graphs and Open Mapping Theorems for Linear Relations | 06-05-2009 |

74. | Javed Hussain | M-Principally Injective and Projective S-acts | 09-05-2009 |

75. | Abdul Manan | Level and index in the Modular Group | 16-05-2009 |

76. | Professor Qaiser Mushtaq | Worthwhile Mathematical Research | 30-05-2009 |

77. | Nasir Siddiqui | The Action of the Automorphism Subgroup of a Cubic Tree on Finite Sets | 13-06-2009 |

78. | Professor Qaiser Mushtaq | Analysis of M.Phil Programme | 1-08-2009 |

79. | Muahmmad Asif | Galois Group | 16-09-2009 |

80. | Sohail Nasir | Flatness and Amalgamation in Pomonoids-I | 03-11-2009 |

81. | Sohail Nasir | Flatness and Amalgamation in Pomonoids-Ii | 10-11-2009 |

82. | Professor Qaiser Mushtaq | Mathematics and Social Milieu | 17-11-2009 |

83. | Andleeb Abbasi | Some Comments on balanced finite groups | 24-11-2009 |

84. | Abdul Manan | Level and Index in the modular Group | 22-12-2009 |

85. | Shehzadi Salama Kanwal | Signature of a Fuchsian Group | 29-12-2009 |

86. | Siddiqua Mazhar | Mathieu Group M24 as Homomorphic Image of PGL(2.Z) | 05-01-2010 |

87. | Muhammad Asif Memon | Galois Group of Polynomial | 19-01-2010 |

88. | Adeela Naz | The Coxeter Group G ^{(k, l, m)} |
26-01-2010 |

89. | Muhammad Awais Yousaf | A software for the permutation representation of (2,3,k) | 09-02-2010 |

90. | Abdul Manan | Level and Index in the modular Group | 16-02-2010 |

91. | Siddiqua Mazhar | Coxeter Diagrams for M24 | 23-02-2010 |

92. | Professor Qaiser Mushtaq | Adversaries in Mathematics | 30-03-2010 |

93. | Akhtar Ali | Orbits of Hecke Group H(squreroot(2)) | 06-04-2010 |

94.. | Nasir siddiqui | Some Applications of Linear Algebra | 13-04-2010 |

95. | Professor Qaiser Mushtaq | M. Phil & PhD Programme in Pakistan | 27-04-2010 |

96. | Umer Shoib | Identification of congruence Subgroups of the Modular Group | 11-05-2010 |

97. | Dr. Asia Majeed | 80 years of operator algebras | 25-05-2010 |

98. | Dr. Asia Majeed | Jordan Zero Product preserving additive Maps on a Nest Algebra | 01-06-2010 |

99. | Abdul Razzaq | Relation between the pairs of circuits of a Fragment and some results about Polynomials | 12-09-2010 |

100. | Professor Qaiser Mushtaq | Mathematical Realities | 19-09-2010 |

101 | Syed Zulqarnain Haider | Subgroups of the (2, 3, 7) | 27-09-2010 |

102. | Syed Khurrum shehzad | Groups of Second Kind within the Modular Grouup | 03-11-2010 |

103. | Tabassum | circuits in coset Diagrams for the Modular Group | 10-11-2010 |

104. | Abdul Razzaq | Different Fregments with the same polynomial | 29-12-2010 |

105 | Imran Shahzad | One relator quotients of the modular group | 19-01-2011 |

106 | Fatima Bibi | The number of Subgroups of given Index in a certain Hecke Group | 09-02-2011 |

107 | Irfan Younas |
Paramedial Groupoids | 23-03-2011 |

108 | Professor Qaiser Mushtaq | Fading Image of Mathematics in Pakistan |
20-04-2011 |

109 | Saleem Abdullah |
Direct Product of Intuitionistic fuzzy Sets in LA-semigroups |
27-04-2011 |

110 | Dr. Farhan Saif |
Science and Technology at Nano-Scale |
04-05-2011 |

111 | Professor Qaiser Mushtaq | Groups and their Applications | 11-05-2011 |

112 | Dr. Zahid Asghar | Food Security Analysis for Pakistan | 18-05-2011 |

113 | Aqeel Islam | Some Properties on Expandable Graph | 25-05-2011 |

114 | Professor Qaiser Mushtaq | Downfall of Mathematics in Pakistan | 01-06-2011 |

115 | Ayesha Rafiq | Fullerene and A5 | 05-10-2011 |

116 | Professor Qaiser Mushtaq | Some comments about PhD Thesis | 26-10-2011 |

117 | Atika Khalid | Two element generation of Reflection Groups | 02-11-2011 |

118 | Sonia Hanif | On Symmetric Graphs | 16-11-2011 |

119 | Hafiza Tayyaba Malik | The Symmetric Genus of a Sporadic Simple Group | 23-11-2011 |

120 | Sumaira Bibi | On the Mathieu Group M23 | 30-11-2011 |

121 | Abid Ali | On Serre’s Nagao’s Theorem | 07-12-2011 |

122 | Prof. Dr. Qaiser Mushtaq | Coset Diagrams and their Applications | 21-12-2011 |

123 | Jazila Javed | A study of SQ-Universal group <x,y;x^2=y^4=[x,y]^k> | 04-01-2012 |

124 | Afshan Qayyum | A study of SQ-Universal group <x,y;x^2=y^6=[x,y]^k> | 18-01-2012 |

125 | Ahmed Adil | Coset Diagram of Picard Group | 24-01-2012 |

126 | Abid Ali | Trees are mathematics friendly also | 01-02-2012 |

127 | Atika khalid | Two element generation of a wallpaper group p31m | 08-02-2012 |

128 | Qaiser Khan | Determination of all regular maps of small genus | 15-02-2012 |

129 | Sumaira Bibi | Mathieu Group M23 | 22-02-2012 |

130 | Hafiza Tayyaba | The symmetric genus of a sporadic simple group | 29-02-2012 |

131 | Sonia Hanif | Constructing Symmetric Graphs | 02-03-2012 |

132 | Abdul Razzaq | Classification of fragments in PSL(2, Z) space | 07-03-2012 |

133 | Muhammad Awais Yousaf | The Picard Group Γ1 | 14-03-2012 |

134 | Ahmed Adil | Determinant of rectangular matrices | 21-03-2012 |

135 | Professor Qaiser Mushtaq | Mathematical Induction | 28-03-2012 |

136 | Jazila Javed | Quotient Group of delta(2,3,oo) | 04-04-2012 |

137 | Shafaq Naz | Rings and Fields | 11-04-2012 |

138 | Muhammad Raheem | Golden Ratio | 18-04-2012 |

139 | Afshan Qayyum | A Universal Subgroup Quotient of <x,y:x^2=y^6=1> | 25-04-2012 |

140 | Professor Qaiser Mushtaq | Lecture: a point of view | 16-05-2012 |

141 | Abdul Razzaq | Homomorphic Images of Circuits in PSL(2,z) space | 23-05-2012 |

142 | Ahmed Adil | A Diagrammatic View of the Picard Groups Amalgamtion | 06-06-2012 |

143 | Dr. Asif Ali | Introduction to Quasigroups and Loops | 13-06-2012 |

144 | Rehan Ahmad | Coxeter Group G^3,13,280 | 20-06-2012 |

145 | Sohail Iqbal | Modular Curves | 27-06-2012 |

146 | Prof. Marcus du Sautoy | The Story of Maths: A Documentary ‘To Infinity and Beyond’ | 04-07-2012 |

147 | Prof. Antonio Aparecido de Andrade | …………….Number fields and its applications | 11-07-2012 |

148 | London Mathematical Society | Multiple Choices: A Documentary ‘Maths Careers’ | 18-07-2012 |

149 | Imran Shehzad | The Seven Bridge Problem and Graphs | 01-08-2012 |

150 | Prof. Dr. Qaiser Mushtaq | Decadence of Research in Mathematics | 08-08-2012 |

151 | Ayesha Rafiq | A short introduction to continued fractions | 15-08-2012 |

152 | Prof. Dr. Qaiser Mushtaq | Essentials of a good lecture in mathematics | 19-09-2012 |

153 | Afshan Qayyum | Universal Subgroup Quotient of <x,y:x^2=y^6=1> | 26-09-2012 |

154 | Abdul Razzaq | Sequence and Series | 10-10-2012 |

155 | Dr. Mohammad Aslam | ordinary Differential Equations | 17-10-2012 |

156 | Dr. Tayyab Kamran | Iterative Function System: An Introduction | 24-10-2012 |

157 | Abid Ali | Tree Autosmorphisms of Rank 2 KMGs: An Open Problem | 14-11-2012 |

158 | Naveed Yaqoob | Rough Hyperideals in Ternary Semihypergroups | 21-11-2012 |

159 | Muhammad Awais Yousaf | Finite Homomorphic Images of the Picard Group | 28-11-2012 |

160 | Prof. Dr. Qaiser Mushtaq | Generalisations: What do they mean? | 05-12-2012 |

161 | M. Umer Shoaib | Some remarks on the homomorphic images of PSL(2,O2) | 12-12-2012 |

162 | Dr. M Jamil Aslam | Exotic States in Particle Physics | 19-12-2012 |

163 | Dr. Umar Hayat | McKay Correspondence: A beautiful link between Orbital Geometry and Representation Theory | 09-01-2013 |

164 | Prof. Dr. Qaiser Mushtaq | Researchers’ Play with Numbers | 23-01-2013 |

165 | Mr. Irfan Younas | Inner Product Spaces: A Brief Review | 06-02-2013 |

166 | Naveed Ahmad Azam | Construction and efficient decoding of cyclic codes | 13-02-2013 |

167 | Prof. Dr. Qaiser Mushtaq | Recording of Mathematical Research | 20-02-2013 |

168 | Shafaq Naz | Ideal Theory of Semihypergroups | 27-02-2013 |

169 | Muhammad Awais Yousaf | Diagrammatic view of action of Picard Group on Projective lines | 06-032013 |

170 | Ms. Saadia Mehwish | A Brief Review of Linear and Cyclic Codes | 13-03-2013 |

171 | Ms. Saira Jahangir | Introduction to Techniques of Cryptography | 20-03-2013 |

172 | Prof. Qaiser Mushtaq | Mathematical Metamorphosis | 27-03-2013 |

173 | Ms. Mariam Irshad | A Glimpse of the History of Mathematics | 03-04-2013 |

174 | Documentary: | Fermat’s Last Theorem | 10-04-2013 |

175 | Mr. Abdul Razzaq | Joining of circuits of coset diagrams of PSL(2,z) | 17-04-2013 |

176 | Muhammad Awais Yousaf | S4 as a homomorphic Image of PSLl(2,Z[i]) | 24-04-2013 |

177 | Mr. Rehan Ahmed | Quotients of Triangle Groups | 29-05-2013 |

178 | Documentary | Infinity | 05-06-2013 |

179 | Dr. Abid Ali | An Introduction to Latex | 12-06-2013 |

180 | Prof. Qaiser Mushtaq | Effects of Commercialization of Mathematical Research | 27-06-2013 |

181 | Mr. Umer Shoib | S4 as a homomorphic image of PL(2,O2) | 03-07-2013 |

182 | Documentary: | Beautiful Equations | 10-07-2013 |

183 | Mr. Muhammad Inam | Math’s Education | 17-07-2013 |

184 | Dr. Safdar Abbas Khan | Infinity | 24-07-2013 |

185 | Dr. Safdar Abbas Khan | Infinity and beyond | 31-07-2013 |

186 | Prof. Qaiser Mushtaq | Presentation of research | 05-09-2013 |

187 | Ms. Mariam Irshad | Origami and Mathematics | 12-09-2013 |

188 | Ms. Saadia Mehwish | Januarials | 19-09-2013 |

189 | Ms. Nighat Mumtaz | Existence of Fragments in Coset Diagrams and Triangle Groups | 26-09-2013 |

190 | Ms. Ayesha Rafiq | Matrices Related To Graphs | 10-10-2013 |

191 | Ms. Saadia Mehwish | Bernhard Riemann and the greatest unsolved problem in mathematics | 31-10-2013 |

192 | Ms. Ayesha Rafiq | Spectra of the action of PSL(2,Z) | 07-11-2013 |

193 | Mr. Abdul Razzaq | On a certain Class of Fragments | 21-11-2013 |

194 | Mr. Rehan Ahmed | Number Theory related to Coset Diagrams | 28-11-2013 |

195 | Ms. Nadia Ambreen | Nadia’s Treasure of Knowledge | 05-12-2013 |

196 | Ms. Kiran Rukhsana | Personality Grooming and Confidence Building | 12-12-2013 |

197 | Ms. Uferah Shafi | Knowte: Messaging; how it should be | 19-12-2013 |

198 | Prof. Qaiser Mushtaq | Research Methodology | 02-01-2014 |

199 | Miss Kiran R. Minhas | Presentation Skills | 30-01-2014 |

200 | Prof. Qaiser Mushtaq | A Pakistani Mathematician’s Worry | 27-02-2014 |

201 | Dr. Khalid Saifullah | Black Hole: A Mathematical Object | 27-03-2014 |

202 | Pervaiz Ahmed | “My News”: Another Social Network | 10-04-2014 |

203 | Mr. M. Awais Yousaf | Alternating Quotients of Picard Group | 08-05-2014 |

204 | Miss Saadia Mehwish | On a condition to obtain januarials constructed from Hecke groups | 15-05-2014 |

205 | Mr Abdul Raheem | Group Theoretic based Cryptography | 22-05-2014 |

206 | Dr Shabieh Farwa | Reimann-Roch Theorem | 29-05-2014 |

207 | Miss Arsala Sharafat | Genus of the Coset diagrams for PSL(2,p) where p≡1,3(mod8) | 05-06-2014 |

208 | Miss Humaira Ahsan-ul- Haq | Genus of the Coset diagrams for PSL(2,p) where p≡1(mod3) | 12-06-2014 |

209 | Miss Mariam Irshad | Action of a subgroup of Hecke group and PSL(2,Z) on spaces related to real Eisentein primes | 19-06-2014 |

210 | Miss Saadia Mehwish | On finding all the Januarials of Hecke group | 26-06-2014 |