The body of the 23-year-old Ashling Murphy was found on the banks of the Grand Canal in Tullamore, on 12 January.
Her death has intensified debate around women’s safety and prompted calls for more to be done to tackle gender-based violence.
Tens of thousands of people have also attended vigils in recent days to honour Ms Murphy.
So, where is Ashling’s funeral taking place and who is in attendance? Here’s what we know.
When and where is Ashling’s funeral being held?
Huge crowds gathered for the funeral of 23-year-old Ashling Murphy in the village of Mountbolus, in County Offaly, on 18 January.
They are also standing outside St Brigid’s Church where Ms Murphy’s funeral mass is being held – as the service is being live streamed.
Children outside the church held photographs of Ms Murphy and roses. The message next to Ms Murphy’s image read: “Fly high in the sky, our shining light.”
Screens have also been set up in Killoughey community centre and Kilcormac/Killoughey GAA pitch to cater for large crowds at the funeral.
Who will be in attendance?
Ms Murphy’s parents Raymond and Kathleen, and siblings Amy and Cathal and her boyfriend Ryan will be among the chief mourners at the parish church of Saint Brigid.
Irish president Michael D Higgins and Irish premier Micheal Martin are among those also in attendance along with representatives from Ms Murphy’s local Gaelic football club as well as from her old school.
Schoolchildren provided a guard of honour outside the church prior to the funeral. A number of children also held fiddles and tin whistles.
Ashling’s sister, Amy Murphy, described her sibling as the “light of our lives and the heart of our family”, on social media.
She asked musicians attending the funeral to bring their instrument and play music at the town’s lower cemetery after the funeral.
Teacher unions have urged schools across Ireland to observe a minute of silence in her memory.
What has been said during the funeral service?
Bishop Deenihan told mourners that Ms Murphy’s murder has questioned attitudes, particularly attitudes towards women, and “our values and morality”.
“Whether those questions will be addressed or passed over remains to be seen but we cannot allow such violence and disregard for both human life and bodily integrity take root in our time and culture,” he added.
“The past few days have been a nightmare. A walk on a mild and sunny afternoon in January should be a happy event, promising the brighter and warmer days of spring and summer.
“That, as we know, was not the case. A depraved act of violence which deprived a kind, talented, loved and admired young woman of her life has since united the country in grief and support.
“We all know that no individual should die like Ashling and no family should suffer like Ashling’s.
“Respect is an old-fashioned word but it is an important one. Respect was missing last Wednesday but it has re-emerged here all the stronger.
“Let us respect each other.”
Has there been any developments in the murder case?
Irish police investigating the death of Ms Murphy renewed an appeal for information, saying “significant progress” has been made in the murder probe.
Police released a description of a man they want to speak to in relation to the teacher’s death.
They have asked anyone who saw a man dressed in a black tracksuit top with no hood, black tracksuit bottoms with a large white stripe or white writing on the side and black runners to come forward.
Officers have asked members of the public whether they saw this man walking in the Tullamore area, or if they gave the man a lift last Wednesday evening.
The public has also been asked if they noticed the man loitering at any location or “involved in any activity which drew your attention”.
Police said that “significant progress” is being made but would not confirm any specific details.
It comes as they identified a new person of interest, who is believed to be receiving treatment in hospital in the Dublin region, and are waiting to speak to him.
As their investigation continues, gardai believe the development of DNA profiles will form an integral part in the search for Ms Murphy’s killer.
What else have the Gardai police force said?
Police appealed to anyone who has not made contact with the investigation team and who has any information to come forward.
Gardai said in a statement: “We are now asking for any member of the public who was on the Grand Canal Way on the morning or afternoon of the January 12 between Digby’s bridge and Ballycommon to contact the investigation team.
“Whether you think you saw anything or not, please contact gardai in Tullamore.
“We continue to appeal for any information on a Falcon Storm mountain bike with straight handlebars and distinctive yellow/green front forks prior to 4pm on Wednesday and in the previous days and weeks.
“We are now asking for people in Tullamore to think about last Wednesday after 4pm and not to confine their thoughts to the Falcon Storm mountain bike.”
Gardai have also said they are concerned about people sharing information on social media, particularly private messaging apps.
Officers have appealed for people to stop sharing these messages.
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